* [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 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* 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 (expm1 (* 3 (* v v))) * [exit]simplify: Simplified to (expm1 (* 3 (* v v))) * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* 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 (log1p (* 3 (* v v))) * [exit]simplify: Simplified to (log1p (* 3 (* v v))) * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 106 ] 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 (26 enodes) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * * * * [misc]progress: [ 5 / 106 ] 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: [ 6 / 106 ] 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: [ 7 / 106 ] 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: [ 8 / 106 ] 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: [ 9 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 106 ] 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: [ 11 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (/ (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 (expm1 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (expm1 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 13 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (/ (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 (log1p (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (log1p (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 14 / 106 ] 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: [ 15 / 106 ] 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: [ 16 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 106 ] 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: [ 18 / 106 ] 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: [ 19 / 106 ] 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: [ 20 / 106 ] 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: [ 21 / 106 ] 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: [ 22 / 106 ] 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: [ 23 / 106 ] 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: [ 24 / 106 ] 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: [ 25 / 106 ] 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: [ 26 / 106 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * * * * [misc]progress: [ 27 / 106 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (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 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (fma 4 (* v v) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * [exit]simplify: Simplified to (* (fma 4 (* v v) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * * * * [misc]progress: [ 28 / 106 ] 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 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 29 / 106 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (135 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 (* (* 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 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * * * * [misc]progress: [ 30 / 106 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 31 / 106 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [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 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 32 / 106 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* 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 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 33 / 106 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (46 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 34 / 106 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * * * * [misc]progress: [ 35 / 106 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 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 (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (fma (* v v) 4 4) * [exit]simplify: Simplified to (fma (* v v) 4 4) * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 106 ] 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: [ 38 / 106 ] 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: [ 39 / 106 ] 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: [ 40 / 106 ] 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: [ 41 / 106 ] 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: [ 42 / 106 ] 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: [ 43 / 106 ] 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: [ 44 / 106 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * * * [misc]progress: [ 45 / 106 ] 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: [ 46 / 106 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (139 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))) * * * * [misc]progress: [ 47 / 106 ] 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: [ 48 / 106 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 49 / 106 ] 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: [ 50 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (expm1 (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (log1p (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 53 / 106 ] 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: [ 54 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 106 ] 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: [ 56 / 106 ] 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: [ 57 / 106 ] 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: [ 58 / 106 ] 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: [ 59 / 106 ] 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: [ 60 / 106 ] 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: [ 61 / 106 ] 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: [ 62 / 106 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * [exit]simplify: Simplified to (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * * * * [misc]progress: [ 63 / 106 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (141 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 (20 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* 3 v) v 1)) 4) * [exit]simplify: Simplified to (* (sqrt (fma (* 3 v) v 1)) 4) * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 106 ] 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: [ 66 / 106 ] 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: [ 67 / 106 ] 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: [ 68 / 106 ] 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: [ 69 / 106 ] 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: [ 70 / 106 ] 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: [ 71 / 106 ] 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: [ 72 / 106 ] 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: [ 73 / 106 ] 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: [ 74 / 106 ] 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: [ 75 / 106 ] 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: [ 76 / 106 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (sqrt 2) 4)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (sqrt 2) 4)) * * * * [misc]progress: [ 77 / 106 ] 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: [ 78 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (expm1 (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (expm1 (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (log1p (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (log1p (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 106 ] 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: [ 84 / 106 ] 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: [ 85 / 106 ] 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: [ 86 / 106 ] 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: [ 87 / 106 ] 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: [ 88 / 106 ] 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: [ 89 / 106 ] 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: [ 90 / 106 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) * [exit]simplify: Simplified to (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) * * * * [misc]progress: [ 91 / 106 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v 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 (17 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v 3) v 1)) * [exit]simplify: Simplified to (sqrt (fma (* v 3) v 1)) * * * * [misc]progress: [ 92 / 106 ] 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: [ 93 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 106 ] 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: [ 96 / 106 ] 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: [ 97 / 106 ] 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: [ 98 / 106 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- (fma 3/32 (pow v 4) 1/4) (* (* 5/8 v) v))) * * * * [misc]progress: [ 99 / 106 ] 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 (69 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (- (fma (* (* (sqrt 2) (sqrt -3)) v) 1/4 (* (/ (/ (sqrt 2) v) (sqrt -3)) (+ 1/8 (/ 1/32 -3)))) (fma (* (* v v) (* v 1/4)) (* (sqrt 2) (sqrt -3)) (/ (* 1/8 (sqrt 2)) (/ (sqrt -3) v)))) * * * * [misc]progress: [ 100 / 106 ] 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 (70 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (- (fma 1/8 (/ v (/ (sqrt -3) (sqrt 2))) (* (* (sqrt -3) 1/4) (* (pow v 3) (sqrt 2)))) (fma (* 1/4 (sqrt 2)) (* v (sqrt -3)) (fma (/ 1/8 v) (/ (sqrt 2) (sqrt -3)) (* (/ (sqrt 2) (sqrt -3)) (/ 1/32 (* v -3)))))) * * * * [misc]progress: [ 101 / 106 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (fma (- 1/4 (* (pow v 4) 9/32)) (sqrt 2) (* (* (- 3/8) (* v v)) (sqrt 2))) (- 1 (* v v))) * * * * [misc]progress: [ 102 / 106 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (fma (- (* (/ (sqrt 2) (sqrt -3)) (/ 1/8 v)) (* (/ (sqrt 2) (pow v 3)) (/ (/ 1/32 -3) (sqrt -3)))) (- 1 (* v v)) (* (* (- 1 (* v v)) 1/4) (* (sqrt -3) (* v (sqrt 2))))) * * * * [misc]progress: [ 103 / 106 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (fma (/ (/ 1/32 v) (* v v)) (/ (/ (sqrt 2) (sqrt -3)) -3) (fma (* (* 1/4 (sqrt -3)) (- (sqrt 2))) v (* (/ (/ 1/8 v) (sqrt -3)) (- (sqrt 2)))))) * * * * [misc]progress: [ 104 / 106 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (fma 9/8 (pow v 4) (* (* v 3/2) v)))) * * * * [misc]progress: [ 105 / 106 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (* (- (fma v (sqrt -3) (/ (/ 1/2 v) (sqrt -3))) (/ (/ (/ 1/8 v) (* v v)) (* (sqrt -3) -3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) * * * * [misc]progress: [ 106 / 106 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- (/ (/ (/ 1/8 v) (* v v)) (* (sqrt -3) -3)) (fma v (sqrt -3) (/ (/ 1/2 v) (sqrt -3))))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* 1/4 (sqrt 2))) into (exp (* 1/4 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* 1/4 (sqrt 2))) into (exp (* 1/4 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (sqrt 2))) -1) into (- (exp (* 1/4 (sqrt 2))) 1) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (sqrt 2))) 1) into (- (exp (* 1/4 (sqrt 2))) 1) * [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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 1) 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 (+ (* 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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 5/8 (sqrt 2))) 1) 1)))) into (* -5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))) 0) into (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) * [misc]backup-simplify: Simplify (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) into (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 5/8 (sqrt 2))) 1) 1)) (* (/ (pow 0 1) 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 (+ (* 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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 5/8 (sqrt 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 5/8 (sqrt 2))) 2) 2)) (* (/ (pow (* 3/32 (sqrt 2)) 1) 1)))) into (* (+ (* 25/128 (pow (sqrt 2) 2)) (* 3/32 (sqrt 2))) (exp (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 25/128 (pow (sqrt 2) 2)) (* 3/32 (sqrt 2))) (exp (* 1/4 (sqrt 2)))) 0) into (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) into (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) (pow v 4)) (+ (* (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) (pow v 2)) (- (exp (* 1/4 (sqrt 2))) 1))) into (- (+ (* 3/32 (* (exp (* 1/4 (sqrt 2))) (* (sqrt 2) (pow v 4)))) (+ (* 25/128 (* (exp (* 1/4 (sqrt 2))) (* (pow (sqrt 2) 2) (pow v 4)))) (exp (* 1/4 (sqrt 2))))) (+ (* 5/8 (* (pow v 2) (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) 1)) * [misc]approximate: Taking taylor expansion of (expm1 (* (* (/ (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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) -1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 v) 2))))) (* (- 1 (/ 1 (pow (/ 1 v) 2))) (sqrt 2))))) 1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (* (/ (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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) -1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 (- v)) 2))))) (* (- 1 (/ 1 (pow (/ 1 (- v)) 2))) (sqrt 2))))) 1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) in v * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* 1/4 (sqrt 2))) into (exp (* 1/4 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (sqrt 2))) -1) into (- (exp (* 1/4 (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* 1/4 (sqrt 2))) 1)) into (exp (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (* 1/4 (sqrt 2)))) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) in v * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* 1/4 (sqrt 2))) into (exp (* 1/4 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (sqrt 2))) -1) into (- (exp (* 1/4 (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* 1/4 (sqrt 2))) 1)) into (exp (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (* 1/4 (sqrt 2)))) 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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/4 (sqrt 2))) 1)))) 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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 5/8 (sqrt 2))) 1) 1)))) into (* -5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))) 0) into (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))))) into (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/4 (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))))) 1)) (pow (exp (* 1/4 (sqrt 2))) 1)))) 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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 5/8 (sqrt 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/4 (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))))) 1)) (pow (exp (* 1/4 (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (sqrt 2))) 1)))) 6) 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 (* (exp (* 1/4 (sqrt 2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 5/8 (sqrt 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 5/8 (sqrt 2))) 2) 2)) (* (/ (pow (* 3/32 (sqrt 2)) 1) 1)))) into (* (+ (* 25/128 (pow (sqrt 2) 2)) (* 3/32 (sqrt 2))) (exp (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 25/128 (pow (sqrt 2) 2)) (* 3/32 (sqrt 2))) (exp (* 1/4 (sqrt 2)))) 0) into (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))))) into (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 1/4 (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))))) 1)) (pow (exp (* 1/4 (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 5/8 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))))) 2)) (pow (exp (* 1/4 (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (+ (* 25/128 (* (pow (sqrt 2) 2) (exp (* 1/4 (sqrt 2))))) (* 3/32 (* (sqrt 2) (exp (* 1/4 (sqrt 2))))))) 1)) (pow (exp (* 1/4 (sqrt 2))) 1)))) 24) 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 (log1p (expm1 (* (* (/ (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 (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) -1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]backup-simplify: Simplify (log (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))))) into (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) -1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]backup-simplify: Simplify (log (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))))) into (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) into (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 v) 2))))) (* (- 1 (/ 1 (pow (/ 1 v) 2))) (sqrt 2)))) into (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (* (* (/ (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 (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) -1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]backup-simplify: Simplify (log (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))))) into (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 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 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (- (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (* (/ (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 (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) -1) into (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)) into (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) * [misc]backup-simplify: Simplify (log (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))))) into (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) into (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) (sqrt 2))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt (- 1 (* 3 (/ 1 (pow (/ 1 (- v)) 2))))) (* (- 1 (/ 1 (pow (/ 1 (- v)) 2))) (sqrt 2)))) into (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (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 1 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 / 84 ] 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: [ 2 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* (* (/ (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 (expm1 (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (expm1 (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* (* (/ (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 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* (* (/ (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 (log (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (log (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* (* (/ (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 (exp (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (exp (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (expm1 (* (* (/ (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 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) (cbrt (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) (cbrt (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))))) * [enter]simplify: Simplifying (cbrt (expm1 (* (* (/ (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 (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (cbrt (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (expm1 (* (* (/ (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 (pow (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 3) * [exit]simplify: Simplified to (pow (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) 3) * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* (* (/ (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 (sqrt (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (sqrt (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (sqrt (expm1 (* (* (/ (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 (sqrt (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (sqrt (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (+ (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) 1) * [exit]simplify: Simplified to (+ (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) 1) * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (expm1 (* (* (/ (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 (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 (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * [exit]simplify: Simplified to (expm1 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (expm1 (* (* (/ (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 (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 (log1p (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * [exit]simplify: Simplified to (log1p (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (expm1 (* (* (/ (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 (40 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (expm1 (* (* (/ (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 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * [exit]simplify: Simplified to (exp (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (cbrt (log1p (expm1 (* (* (/ (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 (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 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (cbrt (log1p (expm1 (* (* (/ (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 (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 (cbrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (log1p (expm1 (* (* (/ (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 (45 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (353 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: [ 21 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (expm1 (* (* (/ (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 (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 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * [enter]simplify: Simplifying (sqrt (log1p (expm1 (* (* (/ (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 (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 (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* 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 (expm1 (* 3 (* v v))) * [exit]simplify: Simplified to (expm1 (* 3 (* v v))) * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* 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 (log1p (* 3 (* v v))) * [exit]simplify: Simplified to (log1p (* 3 (* v v))) * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 84 ] 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 (26 enodes) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * * * * [misc]progress: [ 27 / 84 ] 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: [ 28 / 84 ] 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: [ 29 / 84 ] 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: [ 30 / 84 ] 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: [ 31 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 84 ] 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: [ 33 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (/ (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 (expm1 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (expm1 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (/ (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 (log1p (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (log1p (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 36 / 84 ] 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: [ 37 / 84 ] 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: [ 38 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 84 ] 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: [ 40 / 84 ] 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: [ 41 / 84 ] 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: [ 42 / 84 ] 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: [ 43 / 84 ] 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: [ 44 / 84 ] 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: [ 45 / 84 ] 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: [ 46 / 84 ] 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: [ 47 / 84 ] 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: [ 48 / 84 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * * * * [misc]progress: [ 49 / 84 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (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 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (fma 4 (* v v) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * [exit]simplify: Simplified to (* (fma 4 (* v v) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * * * * [misc]progress: [ 50 / 84 ] 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 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 51 / 84 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (135 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 (* (* 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 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * * * * [misc]progress: [ 52 / 84 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 53 / 84 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [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 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 54 / 84 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* 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 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 55 / 84 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (46 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 56 / 84 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * * * * [misc]progress: [ 57 / 84 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 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 (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (fma (* v v) 4 4) * [exit]simplify: Simplified to (fma (* v v) 4 4) * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 84 ] 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: [ 60 / 84 ] 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: [ 61 / 84 ] 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: [ 62 / 84 ] 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: [ 63 / 84 ] 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: [ 64 / 84 ] 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: [ 65 / 84 ] 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: [ 66 / 84 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * * * [misc]progress: [ 67 / 84 ] 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: [ 68 / 84 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (139 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))) * * * * [misc]progress: [ 69 / 84 ] 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: [ 70 / 84 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 71 / 84 ] 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: [ 72 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (+ (* 3/32 (* (exp (* 1/4 (sqrt 2))) (* (sqrt 2) (pow v 4)))) (+ (* 25/128 (* (exp (* 1/4 (sqrt 2))) (* (pow (sqrt 2) 2) (pow v 4)))) (exp (* 1/4 (sqrt 2))))) (+ (* 5/8 (* (pow v 2) (* (sqrt 2) (exp (* 1/4 (sqrt 2)))))) 1))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (log1p (- (fma (pow v 4) (* (pow (exp 1/4) (sqrt 2)) (fma 3/32 (sqrt 2) (+ 25/128 25/128))) (pow (exp 1/4) (sqrt 2))) (fma (* 5/8 (* v v)) (* (sqrt 2) (pow (exp 1/4) (sqrt 2))) 1))) * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (* (* (sqrt 2) 1/4) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2)))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (* (* (sqrt 2) 1/4) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 76 / 84 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- (fma 3/32 (pow v 4) 1/4) (* (* 5/8 v) v))) * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* v v)) (* (sqrt 2) 1/4))) * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (* (sqrt (- 1 (* 3 (pow v 2)))) (* (sqrt 2) (- 1 (pow v 2))))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* v v)) (* (sqrt 2) 1/4))) * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 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)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 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)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 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)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- (fma 3/32 (pow v 4) 1/4) (* (* 5/8 v) v))) * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (- (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (- (fma (* (sqrt 2) (* v (sqrt -3))) 1/4 (* (/ (/ (sqrt 2) v) (sqrt -3)) (+ (/ 1/32 -3) 1/8))) (fma (sqrt 2) (* (* (sqrt -3) (* v 1/4)) (* v v)) (* (* 1/8 v) (/ (sqrt 2) (sqrt -3))))) * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (- (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (- (fma 1/8 (* v (/ (sqrt 2) (sqrt -3))) (* (* (sqrt -3) 1/4) (* (pow v 3) (sqrt 2)))) (fma (/ (sqrt 2) (* v (sqrt -3))) (/ 1/32 -3) (fma 1/4 (* (sqrt 2) (* v (sqrt -3))) (* (/ 1/8 v) (/ (sqrt 2) (sqrt -3)))))) * * * [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 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 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* 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 (expm1 (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 2 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* 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 (log1p (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 3 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 112 ] 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 (16 enodes) * * [misc]simplify: iters left: 1 (19 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: [ 5 / 112 ] 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 (27 enodes) * [exit]simplify: Simplified to (log (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 6 / 112 ] 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: [ 7 / 112 ] 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: [ 8 / 112 ] 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: [ 9 / 112 ] 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: [ 10 / 112 ] 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: [ 11 / 112 ] 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: [ 12 / 112 ] 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: [ 13 / 112 ] 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: [ 14 / 112 ] 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: [ 15 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 112 ] 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: [ 17 / 112 ] 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: [ 18 / 112 ] 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: [ 19 / 112 ] 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: [ 20 / 112 ] 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: [ 21 / 112 ] 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: [ 22 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ 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 (expm1 (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * * * * [misc]progress: [ 23 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ 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 (log1p (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * [exit]simplify: Simplified to (log1p (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * * * * [misc]progress: [ 24 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 112 ] 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 (35 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (log 2) (- (fma 2 (log 4) (log 4)) (log (sqrt 2)))) * [exit]simplify: Simplified to (- (log 2) (- (fma 2 (log 4) (log 4)) (log (sqrt 2)))) * * * * [misc]progress: [ 26 / 112 ] 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 (52 enodes) * * [misc]simplify: iters left: 1 (72 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: [ 27 / 112 ] 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 (139 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: [ 28 / 112 ] 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: [ 29 / 112 ] 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 (355 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: [ 30 / 112 ] 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 (394 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: [ 31 / 112 ] 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: [ 32 / 112 ] 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 (458 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: [ 33 / 112 ] 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: [ 34 / 112 ] 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: [ 35 / 112 ] 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: [ 36 / 112 ] 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: [ 37 / 112 ] 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: [ 38 / 112 ] 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: [ 39 / 112 ] 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: [ 40 / 112 ] 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: [ 41 / 112 ] 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: [ 42 / 112 ] 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: [ 43 / 112 ] 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: [ 44 / 112 ] 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: [ 45 / 112 ] 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: [ 46 / 112 ] 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: [ 47 / 112 ] 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: [ 48 / 112 ] 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: [ 49 / 112 ] 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: [ 50 / 112 ] 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: [ 51 / 112 ] 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: [ 52 / 112 ] 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: [ 53 / 112 ] 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: [ 54 / 112 ] 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: [ 55 / 112 ] 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: [ 56 / 112 ] 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: [ 57 / 112 ] 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: [ 58 / 112 ] 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 (35 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: [ 59 / 112 ] 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: [ 60 / 112 ] 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: [ 61 / 112 ] 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: [ 62 / 112 ] 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: [ 63 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 112 ] 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: [ 65 / 112 ] 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: [ 66 / 112 ] 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: [ 67 / 112 ] 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: [ 68 / 112 ] 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: [ 69 / 112 ] 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: [ 70 / 112 ] 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: [ 71 / 112 ] 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: [ 72 / 112 ] 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: [ 73 / 112 ] 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: [ 74 / 112 ] 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: [ 75 / 112 ] 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: [ 76 / 112 ] 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: [ 77 / 112 ] 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: [ 78 / 112 ] 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: [ 79 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* 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 (expm1 (* v (* 3 v))) * [exit]simplify: Simplified to (expm1 (* v (* 3 v))) * * * * [misc]progress: [ 80 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* 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 (log1p (* v (* 3 v))) * [exit]simplify: Simplified to (log1p (* v (* 3 v))) * * * * [misc]progress: [ 81 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 112 ] 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 (fma 2 (log v) (log 3)) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * * * * [misc]progress: [ 83 / 112 ] 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: [ 84 / 112 ] 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: [ 85 / 112 ] 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: [ 86 / 112 ] 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: [ 87 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 112 ] 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: [ 89 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* 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 (expm1 (* v (* 3 v))) * [exit]simplify: Simplified to (expm1 (* v (* 3 v))) * * * * [misc]progress: [ 91 / 112 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* 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 (log1p (* v (* 3 v))) * [exit]simplify: Simplified to (log1p (* v (* 3 v))) * * * * [misc]progress: [ 92 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 112 ] 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 (fma 2 (log v) (log 3)) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * * * * [misc]progress: [ 94 / 112 ] 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: [ 95 / 112 ] 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: [ 96 / 112 ] 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: [ 97 / 112 ] 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: [ 98 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 112 ] 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: [ 100 / 112 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 112 ] 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 (386 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ (/ (* 4 4) (sqrt 2)) (- 1 (* v v))) (/ 4 2)))) * * * * [misc]progress: [ 102 / 112 ] 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 (386 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ (/ (* 4 4) (sqrt 2)) (- 1 (* v v))) (/ 4 2)))) * * * * [misc]progress: [ 103 / 112 ] 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 (386 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ (/ (* 4 4) (sqrt 2)) (- 1 (* v v))) (/ 4 2)))) * * * * [misc]progress: [ 104 / 112 ] 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 (386 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ (/ (* 4 4) (sqrt 2)) (- 1 (* v v))) (/ 4 2)))) * * * * [misc]progress: [ 105 / 112 ] 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 (386 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ (/ (* 4 4) (sqrt 2)) (- 1 (* v v))) (/ 4 2)))) * * * * [misc]progress: [ 106 / 112 ] 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 (386 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ (/ (* 4 4) (sqrt 2)) (- 1 (* v v))) (/ 4 2)))) * * * * [misc]progress: [ 107 / 112 ] 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 (389 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) 3)))) (/ (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))))) * * * * [misc]progress: [ 108 / 112 ] 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 (389 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) 3)))) (/ (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))))) * * * * [misc]progress: [ 109 / 112 ] 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 (389 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (- 1 (* (* v v) 3)))) (/ (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))))) * * * * [misc]progress: [ 110 / 112 ] 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 (389 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (* v 3) v)))) (/ (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))))) * * * * [misc]progress: [ 111 / 112 ] 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 (389 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (* v 3) v)))) (/ (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))))) * * * * [misc]progress: [ 112 / 112 ] 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 (389 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (* v 3) v)))) (/ (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) (* (- 1 (* v v)) (- 1 (* v v)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 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 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (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 (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * [exit]simplify: Simplified to (expm1 (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 2 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (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 (log1p (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * [exit]simplify: Simplified to (log1p (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 3 / 424 ] 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: [ 4 / 424 ] 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: [ 5 / 424 ] 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: [ 6 / 424 ] 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: [ 7 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 424 ] 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: [ 9 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 424 ] 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: [ 11 / 424 ] 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: [ 12 / 424 ] 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: [ 13 / 424 ] 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: [ 14 / 424 ] 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: [ 15 / 424 ] 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: [ 16 / 424 ] 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: [ 17 / 424 ] 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: [ 18 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * * * * [misc]progress: [ 20 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (174 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 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (* (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (* (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * * * * [misc]progress: [ 21 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v (* 3 v)) (* 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 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v (* 3 v)) (* 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 (* (* 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 (63 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (fma 3 (* v v) 1)) 4) (fma (fma v v 1) (* v v) 1))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1)) (* (fma (fma v v 1) (* v v) 1) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (fma 3 (* v v) 1)) 4) (fma (fma v v 1) (* v v) 1))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1)) (* (fma (fma v v 1) (* v v) 1) 4)))) * * * * [misc]progress: [ 22 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v (* 3 v)) (* 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)) (sqrt (- 1 (* (* v (* 3 v)) (* 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 (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* 3 v) v) (fma 3 (* v v) 1) 1)) (* (fma (fma v v 1) (* v v) 1) 4))) (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (* v v) (* 4 (sqrt (fma 3 (* v v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* 3 v) v) (fma 3 (* v v) 1) 1)) (* (fma (fma v v 1) (* v v) 1) 4))) (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (* v v) (* 4 (sqrt (fma 3 (* v v) 1)))))) * * * * [misc]progress: [ 23 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (fma (fma (* v v) (* v v) (* v v)) 4 4)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (fma (fma (* v v) (* v v) (* v v)) 4 4)))) * * * * [misc]progress: [ 24 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* 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 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 (59 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (+ 4 (* (fma (* v v) (* v v) (* v v)) 4))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (+ 4 (* (fma (* v v) (* v v) (* v v)) 4))))) * * * * [misc]progress: [ 25 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (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)))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (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 (* (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 (60 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 26 / 424 ] 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 (58 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (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)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* 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 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 (62 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* (fma (fma v v 1) (* v v) 1) 4)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* (fma (fma v v 1) (* v v) 1) 4)))) * * * * [misc]progress: [ 27 / 424 ] 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 (57 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) 1) (* (* v v) 4))) (sqrt (* (fma 4 (fma (* v v) (* v v) 1) (* (* v v) 4)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) 1) (* (* v v) 4))) (sqrt (* (fma 4 (fma (* v v) (* v v) 1) (* (* v v) 4)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 28 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (179 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 (59 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* 4 v) v 4)) (sqrt (* (* 4 (fma (* v v) (fma v v 1) 1)) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* 4 v) v 4)) (sqrt (* (* 4 (fma (* v v) (fma v v 1) 1)) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))) * * * * [misc]progress: [ 29 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 30 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (214 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 (* (pow v 3) (pow v 3))) (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 (* (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 (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * * * * [misc]progress: [ 31 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 32 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (235 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 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 (54 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * * * * [misc]progress: [ 33 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 34 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (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))))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (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 (52 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (* (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (* (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * * * * [misc]progress: [ 35 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 36 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (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 (* (* 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 (60 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (* v v) 4))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* 4 (fma (fma v v 1) (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (* v v) 4))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* 4 (fma (fma v v 1) (* v v) 1))))) * * * * [misc]progress: [ 37 / 424 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (151 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 (37 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (* (fma (* 4 v) v 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * [exit]simplify: Simplified to (* (fma (* 4 v) v 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * * * * [misc]progress: [ 38 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (258 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 (* (* v v) (* v v))) (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 (* (* 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 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) 3 1)) (* 4 (fma (* v v) (fma v v 1) 1)))) (sqrt (* (fma (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)) (* v v) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1))) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) 3 1)) (* 4 (fma (* v v) (fma v v 1) 1)))) (sqrt (* (fma (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1)) (* v v) (sqrt (fma (fma (* v v) 3 1) (* (* v v) 3) 1))) 4))) * * * * [misc]progress: [ 39 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (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 (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* 4 v) v 4))) (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* 4 v) v 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* 4 v) v 4))) (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* 4 v) v 4)))) * * * * [misc]progress: [ 40 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (211 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))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (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))) (/ 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))))))) (+ 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 (59 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma v (* 4 v) 4))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma v (* 4 v) 4))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 41 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* 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 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (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 (* (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 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* 4 v) v 4))) (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* 4 v) v 4))) (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 42 / 424 ] 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 (58 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 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 (* (* (* 3 v) v) (* (* 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))))))) (+ 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 (62 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (* (fma 4 (* v v) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (* (fma 4 (* v v) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 43 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: iters left: 1 (298 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) (* 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) (* 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 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4) (* v v) (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) (sqrt (fma (* v v) (sqrt (fma (* 3 v) v 1)) (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4) (* v v) (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) (sqrt (fma (* v v) (sqrt (fma (* 3 v) v 1)) (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 44 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (176 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 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [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 (* (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 (* 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 (59 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma v (* 4 v) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma v (* 4 v) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 45 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (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 (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (* v v) 4))) (sqrt (fma 4 (* v v) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (* v v) 4))) (sqrt (fma 4 (* v v) 4))) * * * * [misc]progress: [ 46 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (213 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)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [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)))) (/ (/ 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 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (* v v) 4))) (sqrt (fma (fma v v 1) (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (* v v) 4))) (sqrt (fma (fma v v 1) (* v v) 1))) * * * * [misc]progress: [ 47 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* 3 v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 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 (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (+ 4 (* (* v v) 4))))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (+ 4 (* (* v v) 4))))) * * * * [misc]progress: [ 48 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 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))) (* (- 1 (* v v)) (sqrt 2))))) * [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))) (* (- 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 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 49 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (249 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)))) (* (- 1 (* v v)) (sqrt 2))))) * [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)))) (* (- 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 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (* v v) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (* v v) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * * * * [misc]progress: [ 50 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (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 (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 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 51 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (/ (- 1 (* v v)) (/ 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)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 52 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (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 (* (* (sqrt 2) (- 1 (* v v))) (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 (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 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 53 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (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 (* (pow v 3) (pow v 3))) (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 (* 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 (63 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma (* (* v v) 3) (fma 3 (* v v) 1) 1))) (* 4 (sqrt (fma (* (* v v) 3) (fma 3 (* v v) 1) 1))))) (sqrt (* (fma (* v v) (fma v v 1) 1) (* (sqrt (fma 3 (* v v) 1)) 4)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma (* (* v v) 3) (fma 3 (* v v) 1) 1))) (* 4 (sqrt (fma (* (* v v) 3) (fma 3 (* v v) 1) 1))))) (sqrt (* (fma (* v v) (fma v v 1) 1) (* (sqrt (fma 3 (* v v) 1)) 4)))) * * * * [misc]progress: [ 54 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (* (sqrt (- 1 (* (* v (* v 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 (pow (* v (* v 3)) 3))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 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 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* v v) 3) (fma 3 (* v v) 1) 1)) (+ (* 4 (* v v)) 4))) (sqrt (* (* 4 (fma (fma v v 1) (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* v v) 3) (fma 3 (* v v) 1) 1)) (+ (* 4 (* v v)) 4))) (sqrt (* (* 4 (fma (fma v v 1) (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 55 / 424 ] 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 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (147 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 (* (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 (38 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 56 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (229 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 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (* 4 (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (* 4 (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1)))))) * * * * [misc]progress: [ 57 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (335 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 (pow (* v v) 3)) (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 (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 (* (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 (60 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 58 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (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)) (* 3 (* v v))))))) (sqrt (* (/ (- 1 (* (* v v) (* 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)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma 3 (* v v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma 3 (* v v) 1)))))) * * * * [misc]progress: [ 59 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (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 (pow (* v v) 3))))) (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)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 60 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (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 (* (pow v 3) (pow v 3))) (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))))) (+ (* 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 (50 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (* (fma v v 1) (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (* (fma v v 1) (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 61 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (164 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))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [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))))) (* (- 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 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (fma 4 (* v v) 4) (* v v) 4))) (sqrt (fma (fma 4 (* v v) 4) (* v v) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (fma 4 (* v v) 4) (* v v) 4))) (sqrt (fma (fma 4 (* v v) 4) (* v v) 4))) * * * * [misc]progress: [ 62 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (226 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 (* 3 (* v v))))))) * [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 (* 3 (* v v))))))) * [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 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma 3 (* v v) 1))))) (sqrt (fma (* v 4) v 4))) * [exit]simplify: Simplified to (* (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma 3 (* v v) 1))))) (sqrt (fma (* v 4) v 4))) * * * * [misc]progress: [ 63 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (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)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [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 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 64 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (251 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 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [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 (* (* 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 (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1)))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1)))) (hypot 1 v)) * * * * [misc]progress: [ 65 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (249 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 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4)) (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma 3 (* v v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4)) (sqrt (fma (* 4 (sqrt (fma 3 (* v v) 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma 3 (* v v) 1)))))) * * * * [misc]progress: [ 66 / 424 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (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 (* (pow v 3) (pow v 3))) (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 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 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma 3 (* v v) 1)))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma 3 (* v v) 1)))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 67 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* 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 (pow (* v (* v 3)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [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 (52 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)))) * * * * [misc]progress: [ 68 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 69 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (sqrt 2) (- 1 (* v v))))) (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))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 70 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (* (sqrt (- 1 (* (* v (* v 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 (pow (* v (* v 3)) 3))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 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))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1))) 4)) (sqrt (* (sqrt (fma (fma (* v v) 3 1) (* (* 3 v) v) 1)) (* 4 (fma (* v v) (fma v v 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1))) 4)) (sqrt (* (sqrt (fma (fma (* v v) 3 1) (* (* 3 v) v) 1)) (* 4 (fma (* v v) (fma v v 1) 1))))) * * * * [misc]progress: [ 71 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* 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) (* 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 (* 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 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma v (* 3 v) 1)))) (sqrt (* (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) 4))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma v (* 3 v) 1)))) (sqrt (* (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) 4))) * * * * [misc]progress: [ 72 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (173 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)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (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)) (* 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 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma (fma v v 1) (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (* (sqrt (fma 3 (* v v) 1)) 4) (* (sqrt (fma 3 (* v v) 1)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma (fma v v 1) (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (* (sqrt (fma 3 (* v v) 1)) 4) (* (sqrt (fma 3 (* v v) 1)) 4)))) * * * * [misc]progress: [ 73 / 424 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [exit]simplify: Simplified to (* (* (- 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 (* 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 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * * * * [misc]progress: [ 74 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [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 (62 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* 3 (* v v)) 1)) (sqrt (fma (fma (* v v) 3 1) (* 3 (* v v)) 1)))) (sqrt (* (sqrt (fma (* v v) 3 1)) (fma v (* v 4) 4)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* 3 (* v v)) 1)) (sqrt (fma (fma (* v v) 3 1) (* 3 (* v v)) 1)))) (sqrt (* (sqrt (fma (* v v) 3 1)) (fma v (* v 4) 4)))) * * * * [misc]progress: [ 75 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (255 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) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 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) (* 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 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 76 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)))) (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 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)))) (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 (50 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (* 4 (sqrt (fma 3 (* v v) 1))) (* 4 (sqrt (fma 3 (* v v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (* 4 (sqrt (fma 3 (* v v) 1))) (* 4 (sqrt (fma 3 (* v v) 1)))))) * * * * [misc]progress: [ 77 / 424 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (188 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) (* 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) (* 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 (77 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma 4 (* v v) 4))) (sqrt (* (fma v v 1) (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma 4 (* v v) 4))) (sqrt (* (fma v v 1) (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 78 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 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 (* 3 (* v v)))) (* (- 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 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4)))) * * * * [misc]progress: [ 79 / 424 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* 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)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [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 (70 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) 4 4) (sqrt (fma (* 3 v) v 1)))) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) 4 4) (sqrt (fma (* 3 v) v 1)))) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 80 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (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 (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (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 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4))) (sqrt (fma (fma v v 1) (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4))) (sqrt (fma (fma v v 1) (* v v) 1))) * * * * [misc]progress: [ 81 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (216 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)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* 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)) (* 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 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (hypot 1 v)) * * * * [misc]progress: [ 82 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (273 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 (44 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) 4)) (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma (* v 4) v 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) 4)) (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma (* v 4) v 4)))) * * * * [misc]progress: [ 83 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (152 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 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (sqrt (* 4 (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (sqrt (* 4 (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 84 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (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) 4)))) (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 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 (83 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) (sqrt (* (sqrt (fma (* 3 v) v 1)) (* (fma v v 1) 4)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) (sqrt (* (sqrt (fma (* 3 v) v 1)) (* (fma v v 1) 4)))) * * * * [misc]progress: [ 85 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (247 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)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [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)) (* 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 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (sqrt (sqrt (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (sqrt (sqrt (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 86 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (213 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)))) (* (- 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)))) (* (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * * * * [misc]progress: [ 87 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (fma (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (fma (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * * * * [misc]progress: [ 88 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (295 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))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2)))))) * [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))) (/ (- 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 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 (59 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 89 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* 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 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 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 (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 (60 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 90 / 424 ] 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 (58 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (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 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)))) (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)))) (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* v v) 3 1))))) * * * * [misc]progress: [ 91 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1)) (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1))) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1)) (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1))) * * * * [misc]progress: [ 92 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (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) 4)) (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 (* (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 (53 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1)) (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1)))) (sqrt (fma (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1)) (* v v) (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1)) (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1)))) (sqrt (fma (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1)) (* v v) (sqrt (fma (fma (* v v) 3 1) (* v (* 3 v)) 1))))) * * * * [misc]progress: [ 93 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (385 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 (56 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 94 / 424 ] 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 (60 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (365 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 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* 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 (- 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 (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) 3 1)) (* v v) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) 3 1)) (* v v) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 95 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 96 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (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 (* (* v v) (* v v)))) (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 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (* (sqrt (fma 4 (* v v) 4)) (sqrt (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))))) * [exit]simplify: Simplified to (* (sqrt (fma 4 (* v v) 4)) (sqrt (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))))) * * * * [misc]progress: [ 97 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * * * * [misc]progress: [ 98 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (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) 4) (- 1 (* (* v v) (* v v)))) (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 (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (hypot 1 v)) * * * * [misc]progress: [ 99 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) 4))) * * * * [misc]progress: [ 100 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (- 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 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 (51 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) 3 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) 3 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1))))) * * * * [misc]progress: [ 101 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * * * * [misc]progress: [ 102 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (/ 4 (sqrt 2)) (- 1 (* 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 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (/ 4 (sqrt 2)) (- 1 (* 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 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (sqrt (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (sqrt (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 103 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))))) (sqrt 4)) * * * * [misc]progress: [ 104 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (pow (* v v) 3)) (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 (pow (* v v) 3)) (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 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma v v 1) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))))) (sqrt (* (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (fma (* v v) (* v v) (* v v)) 4 4)))) * [exit]simplify: Simplified to (* (sqrt (* (fma v v 1) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))))) (sqrt (* (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (fma (* v v) (* v v) (* v v)) 4 4)))) * * * * [misc]progress: [ 105 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (- 1 (* (* v v) (* 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 (pow (* (* v v) 3) 3))) (* (- 1 (* (* v v) (* 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 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 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)) (fma v (* v 4) 4))) (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)) (fma v (* v 4) 4))) (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)) (fma v v 1)))) * * * * [misc]progress: [ 106 / 424 ] 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 (58 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v v) 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 (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 (62 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) 3 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (fma (* v v) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) 3 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (fma (* v v) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1)) (sqrt (fma (* 3 (* v v)) (fma (* v v) 3 1) 1))))) * * * * [misc]progress: [ 107 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 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 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* 3 v) v 1)))) (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* 3 v) v 1)))) (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 108 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)))) (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 (* (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 (55 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 109 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) * [exit]simplify: Simplified to (* (* (/ (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 (* (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 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))) * [exit]simplify: Simplified to (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))) * * * * [misc]progress: [ 110 / 424 ] 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 (60 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 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 (pow (* (* v v) 3) 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 (* 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 (58 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (sqrt (fma (* 3 v) v 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (sqrt (fma (* 3 v) v 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 111 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v v) 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 (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma v v 1) (sqrt (fma (* 3 v) v 1)))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (fma v v 1) (sqrt (fma (* 3 v) v 1)))) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 112 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (281 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 (* (* v v) (* v v))))))) * [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 (* (* 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 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (fma (* v v) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (fma (* v v) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))))) * * * * [misc]progress: [ 113 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 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 (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))))) (sqrt (fma (* v 4) v 4))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))))) (sqrt (fma (* v 4) v 4))) * * * * [misc]progress: [ 114 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* 3 v)))))) (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 (+ (* 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 (112 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* v v) (fma v v 1) 1))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* v v) (fma v v 1) 1))) * * * * [misc]progress: [ 115 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 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 (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (hypot 1 v)) * * * * [misc]progress: [ 116 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (sqrt 2) (- 1 (* v v))))) (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))) (* (sqrt 2) (- 1 (* v v))))) (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 (* 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 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) * * * * [misc]progress: [ 117 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 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 (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* 4 (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* 4 (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 118 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (201 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 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [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))) (/ (/ 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 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * * * * [misc]progress: [ 119 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (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 (* 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 (109 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma v v 1))) (sqrt (sqrt (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma v v 1))) (sqrt (sqrt (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 120 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 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)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 121 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (312 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 (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 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (pow v 3) (pow 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 (60 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma (* v v) (fma v v 1) 1)) (sqrt (fma (fma 3 (* v v) 1) (* (* v 3) v) 1)))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma (* v v) (fma v v 1) 1)) (sqrt (fma (fma 3 (* v v) 1) (* (* v 3) v) 1)))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 122 / 424 ] 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 (58 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (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 (pow (* v v) 3))))) (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 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 (62 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* v 3) v 1) (* (* v 3) v) 1)) (fma (* v v) 4 4))) (sqrt (fma (sqrt (fma (* v 3) v 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v 3) v 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* v 3) v 1) (* (* v 3) v) 1)) (fma (* v v) 4 4))) (sqrt (fma (sqrt (fma (* v 3) v 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v 3) v 1))))) * * * * [misc]progress: [ 123 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 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 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (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 (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 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 124 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow 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 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4)))) * * * * [misc]progress: [ 125 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ (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 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 (56 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma v (* v 3) 1)) (sqrt (fma v (* v 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma v (* v 3) 1)) (sqrt (fma v (* v 3) 1))))) * * * * [misc]progress: [ 126 / 424 ] 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 (60 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (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))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (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 (58 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma v (* v 3) 1)) (sqrt (fma v (* v 3) 1)))) (sqrt (* (sqrt (fma (* (* v 3) v) (* (* v 3) v) (fma v (* v 3) 1))) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma v (* v 3) 1)) (sqrt (fma v (* v 3) 1)))) (sqrt (* (sqrt (fma (* (* v 3) v) (* (* v 3) v) (fma v (* v 3) 1))) (fma v v 1)))) * * * * [misc]progress: [ 127 / 424 ] 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 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [exit]simplify: Simplified to (* (* (/ (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 (* (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 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 128 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (296 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 (* (pow v 3) (pow v 3)))) (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 (* (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 (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 129 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (258 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 (* (pow v 3) (pow v 3)))) (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 (* (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 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 130 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (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))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (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 (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 131 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (288 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)) (* v (* v 3))))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (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)) (* v (* v 3))))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))))) * [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 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * * * * [misc]progress: [ 132 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v 3) 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 (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 133 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (/ (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 (* 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 (51 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v 3) v 1)) (sqrt (fma (* v 3) v 1)))) (sqrt (* 4 (sqrt (fma (* v (* v 3)) (fma (* v 3) v 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v 3) v 1)) (sqrt (fma (* v 3) v 1)))) (sqrt (* 4 (sqrt (fma (* v (* v 3)) (fma (* v 3) v 1) 1))))) * * * * [misc]progress: [ 134 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (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) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (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 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * * * * [misc]progress: [ 135 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (364 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))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))))) * [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))))) (* (/ (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)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma v (* v 3) 1)) (sqrt (fma v (* v 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma v (* v 3) 1)) (sqrt (fma v (* v 3) 1))))) * * * * [misc]progress: [ 136 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* v v)) (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)) (* v (* v 3))))) (/ 4 (* (- 1 (* v v)) (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 (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 137 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* v (* v 3))))))) * [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 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 138 / 424 ] 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 (58 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (299 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 (62 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * * * * [misc]progress: [ 139 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [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 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* (* v 3) v) (* (* v 3) v) (fma (* v 3) v 1))))) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* (* v 3) v) (* (* v 3) v) (fma (* v 3) v 1))))) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * * * * [misc]progress: [ 140 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (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) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (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 (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 (50 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (* v v) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (* v v) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1))))) * * * * [misc]progress: [ 141 / 424 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (217 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))))) (* (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) (* v v)))))) (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 (71 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* v v) 4 4))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 142 / 424 ] 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 (60 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [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 (58 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 143 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [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 (46 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (fma (* v 3) v 1) (* (* v 3) v) 1)) (sqrt (fma (fma (* v 3) v 1) (* (* v 3) v) 1)))) (sqrt (fma (sqrt (fma (* v 3) v 1)) (* v v) (sqrt (fma (* v 3) v 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (fma (* v 3) v 1) (* (* v 3) v) 1)) (sqrt (fma (fma (* v 3) v 1) (* (* v 3) v) 1)))) (sqrt (fma (sqrt (fma (* v 3) v 1)) (* v v) (sqrt (fma (* v 3) v 1))))) * * * * [misc]progress: [ 144 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (297 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 (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow 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 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1))))) * * * * [misc]progress: [ 145 / 424 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (230 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 (* (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 (43 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma (* v 3) v 1)) (* v v) (sqrt (fma (* v 3) v 1))) * [exit]simplify: Simplified to (fma (sqrt (fma (* v 3) v 1)) (* v v) (sqrt (fma (* v 3) v 1))) * * * * [misc]progress: [ 146 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (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))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [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 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4)) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4)) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 147 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [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 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v 4) v 4))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v 4) v 4))) * * * * [misc]progress: [ 148 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (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))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 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 (38 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (fma (sqrt (fma (* v v) 3 1)) (* v v) (sqrt (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (fma (sqrt (fma (* v v) 3 1)) (* v v) (sqrt (fma (* v v) 3 1))))) * * * * [misc]progress: [ 149 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 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 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [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 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * * * * [misc]progress: [ 150 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 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 (* 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 (41 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma (* v 3) v 1) (* v (* v 3)) 1)))) (sqrt (fma (* v v) (sqrt (fma (* v 3) v 1)) (sqrt (fma (* v 3) v 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma (* v 3) v 1) (* v (* v 3)) 1)))) (sqrt (fma (* v v) (sqrt (fma (* v 3) v 1)) (sqrt (fma (* v 3) v 1))))) * * * * [misc]progress: [ 151 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [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 (53 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1)))) (sqrt (* 4 (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1)))) (sqrt (* 4 (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 152 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [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 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * * * * [misc]progress: [ 153 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (253 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))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [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))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [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 (50 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 154 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (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 (* (* (- 1 (* v v)) (sqrt 2)) (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 4)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (fma (* v 3) v 1)) (fma v v 1)))) * * * * [misc]progress: [ 155 / 424 ] 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 (57 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 156 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (176 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 (* (* 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 (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 (59 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (* v v) 4) (sqrt (fma (fma (* v 3) v 1) (* v (* v 3)) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (* v v) 4) (sqrt (fma (fma (* v 3) v 1) (* v (* v 3)) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 157 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [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 (48 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma (fma (* v v) (* v v) (* v v)) 4 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 158 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (231 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 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* (fma 4 (* v v) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* (fma 4 (* v v) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 159 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 160 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 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 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* v (* 3 v))))))) * [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 (56 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 161 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [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 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 162 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (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 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 163 / 424 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * * * * [misc]progress: [ 164 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (81 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 (pow (* v v) 3)) (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)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (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 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (sqrt (fma v (* v 4) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma v (* v 4) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 165 / 424 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 166 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (134 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 (* (* v v) (* 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)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [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 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 167 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v (* v 3)) (fma (* v 3) v 1) 1)) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v (* v 3)) (fma (* v 3) v 1) 1)) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 168 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* 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 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * * * * [misc]progress: [ 169 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (sqrt (fma (fma (* v 3) v 1) (* 3 (* v v)) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (sqrt (fma (fma (* v 3) v 1) (* 3 (* v v)) 1)))) * * * * [misc]progress: [ 170 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (257 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))))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [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))))) (/ (- 1 (* v v)) (/ 4 (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 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 171 / 424 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 172 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (pow (* v v) 3)) (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 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [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 (59 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * * [misc]simplify: iters left: 1 (496 enodes) * [exit]simplify: Simplified to (* (sqrt (fma 4 (* v v) 4)) (sqrt (* (fma (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))) 4))) * [exit]simplify: Simplified to (* (sqrt (fma 4 (* v v) 4)) (sqrt (* (fma (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))) 4))) * * * * [misc]progress: [ 173 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (166 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))) (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))) (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 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) 4 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) 4 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 174 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (231 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 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (* 4 (sqrt (fma (* v v) 3 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma (* v v) 3 1)))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (* 4 (sqrt (fma (* v v) 3 1))) (fma (* v v) (* v v) (* v v)) (* 4 (sqrt (fma (* v v) 3 1)))))) * * * * [misc]progress: [ 175 / 424 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (177 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 (69 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (* 4 v) v 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* 4 v) v 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma (* 4 v) v 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* 4 v) v 4))) * * * * [misc]progress: [ 176 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (* v (* 3 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 (56 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 177 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (197 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) 4)) (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) 4)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [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 (44 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 178 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (250 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 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 179 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (240 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))))) (/ 4 (* (- 1 (* (* v v) (* v v))) (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))))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [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 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 180 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (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 (39 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4)) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4)) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 181 / 424 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 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 (* (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 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (fma (* v v) 4 4) * [exit]simplify: Simplified to (fma (* v v) 4 4) * * * * [misc]progress: [ 182 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (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 (* (* v v) (* v v))) (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 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * * * * [misc]progress: [ 183 / 424 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (112 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)))))) * [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)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma v (* 4 v) 4))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma v (* 4 v) 4))) * * * * [misc]progress: [ 184 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (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 (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [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 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) 4)) (sqrt (fma (* 4 v) v 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) 4)) (sqrt (fma (* 4 v) v 4))) * * * * [misc]progress: [ 185 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 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)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [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 (43 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (* 4 (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) 4 4)) (sqrt (* 4 (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 186 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (206 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)) (/ 4 (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)) (/ 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)))))))) * * [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 (103 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* (* 3 v) v) (fma (* 3 v) v 1) 1))) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* (* 3 v) v) (fma (* 3 v) v 1) 1))) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 187 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (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)) (/ (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 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 188 / 424 ] 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 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* 3 (* 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 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 189 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (* (* v 3) v) (fma (* v 3) v 1) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (* (* v 3) v) (fma (* v 3) v 1) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * * * * [misc]progress: [ 190 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [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 (51 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (* (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (* 4 (fma v v 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (* (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (* 4 (fma v v 1))))) * * * * [misc]progress: [ 191 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * * * * [misc]progress: [ 192 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [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 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma v (* 4 v) 4))) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma v (* 4 v) 4))) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * * * * [misc]progress: [ 193 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (fma v v 1) (* v v) 1))) * * * * [misc]progress: [ 194 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v 3) 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 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (fma (* v v) (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1)) (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (fma (* v v) (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1)) (sqrt (fma (fma 3 (* v v) 1) (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 195 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (208 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 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [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 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (* v v) (fma v v 1) 1))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)))) (sqrt (fma (* v v) (fma v v 1) 1))) * * * * [misc]progress: [ 196 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (38 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma (sqrt (fma (* v v) 3 1)) (* v v) (sqrt (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma (sqrt (fma (* v v) 3 1)) (* v v) (sqrt (fma (* v v) 3 1))))) * * * * [misc]progress: [ 197 / 424 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 198 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (136 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 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 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 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma (* 4 v) v 4))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (fma (* 4 v) v 4))) * * * * [misc]progress: [ 199 / 424 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (fma (* v v) (* v v) (fma v v 1)) * [exit]simplify: Simplified to (fma (* v v) (* v v) (fma v v 1)) * * * * [misc]progress: [ 200 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (- 1 (pow (* v 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 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (* v v) (fma v v 1) 1))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (* v v) (fma v v 1) 1))) * * * * [misc]progress: [ 201 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (* 4 (sqrt (fma (fma v (* v 3) 1) (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (* 4 (sqrt (fma (fma v (* v 3) 1) (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 202 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* 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)) (* 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 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * * * * [misc]progress: [ 203 / 424 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))) (sqrt (fma (* v v) (fma v v 1) 1))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))) (sqrt (fma (* v v) (fma v v 1) 1))) * * * * [misc]progress: [ 204 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (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)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (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 (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) 3 1))) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) 3 1))) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * * * * [misc]progress: [ 205 / 424 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (* v v) (* v v) (fma v v 1)))) * * * * [misc]progress: [ 206 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (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 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 (247 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* (* 3 v) v) (fma 3 (* v v) 1) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* (* 3 v) v) (fma 3 (* v v) 1) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4)))) * * * * [misc]progress: [ 207 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (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 (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 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 (40 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma 3 (* v v) 1))))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma 3 (* v v) 1))))) (hypot 1 v)) * * * * [misc]progress: [ 208 / 424 ] 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 (53 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (pow (* 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 (43 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 209 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (187 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))) (* (/ (sqrt 2) 4) (- 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))) (* (/ (sqrt 2) 4) (- 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 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma 4 (* v v) 4)))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma 4 (* v v) 4)))) * * * * [misc]progress: [ 210 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* (* v 3) 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 (48 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 211 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 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 (36 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (hypot 1 v)) * * * * [misc]progress: [ 212 / 424 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [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 (39 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1)) (sqrt (fma (* v v) 3 1)))) (hypot 1 v)) * * * * [misc]progress: [ 213 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (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 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 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 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1)))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1)))) (hypot 1 v)) * * * * [misc]progress: [ 214 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (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 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4))) * * * * [misc]progress: [ 215 / 424 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (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 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (fma v (* 4 v) 4)) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (fma v (* 4 v) 4)) (hypot 1 v)) * * * * [misc]progress: [ 216 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v)))))) * [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 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (hypot 1 v)) * * * * [misc]progress: [ 217 / 424 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) 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 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fma v v 1) * [exit]simplify: Simplified to (fma v v 1) * * * * [misc]progress: [ 218 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (206 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 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) 4)) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)) 4)) (hypot 1 v)) * * * * [misc]progress: [ 219 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (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))) (/ 4 (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [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 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (hypot 1 v)) * * * * [misc]progress: [ 220 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (240 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 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) * * * * [misc]progress: [ 221 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (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 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [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 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (hypot 1 v)) * * * * [misc]progress: [ 222 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (114 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 (* (* v v) (* v v))))))) * [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 (* (* 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 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt 4)) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt 4)) * * * * [misc]progress: [ 223 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (fma 4 (fma (* v v) (* v v) (* v v)) 4))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) * * * * [misc]progress: [ 224 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (162 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 (* (* v v) (* v v))) (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 (* (* 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 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1)))) (sqrt (* (fma (* 4 v) v 4) (sqrt (fma (fma (* 3 v) v 1) (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 225 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (235 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 (* (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 (* (* (* 3 v) v) (* (* 3 v) 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)))))))) (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 (54 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 226 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (250 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 (44 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* 4 v) v 4))) (sqrt (* 4 (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) (fma (* 4 v) v 4))) (sqrt (* 4 (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * * * * [misc]progress: [ 227 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (* 4 (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1)))) (sqrt (* 4 (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))))) * * * * [misc]progress: [ 228 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (206 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 (* (* v v) (* 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 (pow (* (* 3 v) v) 3))) (* (- 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)))))))) (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 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)) (* v v) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 229 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (sqrt 2) 4) (- 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))))) (* (/ (sqrt 2) 4) (- 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 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 230 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (sqrt (* (* (- 1 (* 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)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 231 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 232 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (169 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 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma 4 (* v v) 4))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt (fma 4 (* v v) 4))) * * * * [misc]progress: [ 233 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* (* 3 3) (* v v)) (* v v) (fma (* v v) 3 1))))) (sqrt (fma (* v v) (fma v v 1) 1))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* (* 3 3) (* v v)) (* v v) (fma (* v v) 3 1))))) (sqrt (fma (* v v) (fma v v 1) 1))) * * * * [misc]progress: [ 234 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 v) 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)))))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* 4 (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 235 / 424 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* 4 (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* 4 (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 236 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (188 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)) (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)) (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 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))))) * * * * [misc]progress: [ 237 / 424 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) * * * * [misc]progress: [ 238 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (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)) (/ (sqrt 2) 4)) (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 (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 239 / 424 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) (sqrt 4)) * * * * [misc]progress: [ 240 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (247 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 (pow (* v v) 3)) (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 (pow (* v v) 3)) (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))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (* (* 3 v) v) (fma 3 (* v v) 1) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma (* (* 3 v) v) (fma 3 (* v v) 1) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * * * * [misc]progress: [ 241 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (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)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* 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))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1)) (fma (* v v) 4 4))) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1)) (fma (* v v) 4 4))) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * * * * [misc]progress: [ 242 / 424 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (161 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 3) (pow v 3))) (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)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow 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 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (* (* (fma (fma v v 1) (* v v) 1) 4) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 243 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (152 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 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 v) v 1)))) (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 v) v 1)))) (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 244 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [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 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * * * * [misc]progress: [ 245 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* 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))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 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 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)) (fma v v 1))) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma (* 3 v) v 1) (* v (* 3 v)) 1)) (fma v v 1))) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * * * * [misc]progress: [ 246 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [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 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma 3 (* v v) 1)))) (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 247 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (247 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) (* 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) (* 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 (53 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma v v 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (sqrt (* (sqrt (fma (* 3 v) v 1)) (fma v v 1)))) * * * * [misc]progress: [ 248 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (pow v 3) (pow 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) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v 3) v)))))) * [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 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma 3 (* v v) 1)) 4)) (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4))) * * * * [misc]progress: [ 249 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (213 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 (* 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) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [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 (43 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (sqrt (fma (* v v) 4 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (sqrt (fma (* v v) 4 4))) * * * * [misc]progress: [ 250 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (238 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)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow 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)))) (/ (/ 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 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (fma (fma v v 1) (* v v) 1)) (sqrt (* (sqrt (fma 3 (* v v) 1)) 4))) * * * * [misc]progress: [ 251 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (221 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)))) (/ (/ 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)))) (/ (/ 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 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * * * * [misc]progress: [ 252 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* 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 (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 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4)) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4)) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * * * * [misc]progress: [ 253 / 424 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (184 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)))))) * [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 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* 3 v) v 1)) 4) * [exit]simplify: Simplified to (* (sqrt (fma (* 3 v) v 1)) 4) * * * * [misc]progress: [ 254 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* 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 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (- 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)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (sqrt (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (* 3 v) v 1)) 4)) (sqrt (sqrt (fma (fma (* 3 v) v 1) (* 3 (* v v)) 1)))) * * * * [misc]progress: [ 255 / 424 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (235 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)))))) * [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)))))) * [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 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* 3 v) v 1))) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* 3 v) v 1))) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * * * * [misc]progress: [ 256 / 424 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* 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)) (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 (+ 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 (24 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (fma (* 3 v) v 1)) 4))) * * * * [misc]progress: [ 257 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) 4)) (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (fma (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) 4)) (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) * * * * [misc]progress: [ 258 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (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 (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (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 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (+ (* (* v v) 4) 4)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (+ (* (* v v) 4) 4)))) * * * * [misc]progress: [ 259 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (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))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (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))))))) (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 (52 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma v (* 3 v) 1) (* v (* 3 v)) 1))) (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma v (* 3 v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma v (* 3 v) 1) (* v (* 3 v)) 1))) (sqrt (* (fma 4 (fma (* v v) (* v v) (* v v)) 4) (sqrt (fma v (* 3 v) 1))))) * * * * [misc]progress: [ 260 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (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 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (fma (* 3 v) v 1)) (fma v v 1)) 4)) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (fma (* 3 v) v 1)) (fma v v 1)) 4)) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * * * * [misc]progress: [ 261 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)) (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)) (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))))) * * * * [misc]progress: [ 262 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (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 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (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))))))) (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 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * * * * [misc]progress: [ 263 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (sqrt 2) 4) (- 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 (48 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (sqrt (fma 3 (* v v) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1)))) * * * * [misc]progress: [ 264 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (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))))))) (sqrt (* (sqrt (+ 1 (* 3 (* 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 (109 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) (sqrt (fma (sqrt (fma (* 3 v) v 1)) (* v v) (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) (sqrt (fma (sqrt (fma (* 3 v) v 1)) (* v v) (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 265 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (sqrt (fma (* (* v v) 3) (* (* v v) 3) (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) 4 4)) (sqrt (sqrt (fma (* (* v v) 3) (* (* v v) 3) (fma (* v v) 3 1))))) * * * * [misc]progress: [ 266 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 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 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))) (sqrt (fma 4 (* v v) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))) (sqrt (fma 4 (* v v) 4))) * * * * [misc]progress: [ 267 / 424 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))) (sqrt (fma (* v v) (fma v v 1) 1))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1))) (sqrt (fma (* v v) (fma v v 1) 1))) * * * * [misc]progress: [ 268 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 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 (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))) (hypot 1 v)) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1))) (hypot 1 v)) * * * * [misc]progress: [ 269 / 424 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) * * * * [misc]progress: [ 270 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (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))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* (* 3 v) v) (fma (* 3 v) v 1) 1))) (sqrt (* 4 (sqrt (fma (* 3 v) v 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* (* 3 v) v) (fma (* 3 v) v 1) 1))) (sqrt (* 4 (sqrt (fma (* 3 v) v 1))))) * * * * [misc]progress: [ 271 / 424 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) * [exit]simplify: Simplified to (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) * * * * [misc]progress: [ 272 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (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))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (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))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 273 / 424 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) (sqrt 4)) * * * * [misc]progress: [ 274 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 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 (52 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* (* v 3) v) 1)) (+ (* 4 (fma (* v v) (* v v) (* v v))) 4))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* (* v 3) v) 1)) (+ (* 4 (fma (* v v) (* v v) (* v v))) 4))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 275 / 424 ] 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 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (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 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4) (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4) (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 276 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (- 1 (* v v)) (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 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) 3 1))) (sqrt (* (* (fma (* v v) (* v v) (fma v v 1)) 4) (sqrt (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v v) 3 1))) (sqrt (* (* (fma (* v v) (* v v) (fma v v 1)) 4) (sqrt (fma (* v v) 3 1))))) * * * * [misc]progress: [ 277 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (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 (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (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 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* (fma v v 1) 4) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 278 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (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)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v 3) v 1))) (sqrt (fma (sqrt (fma (fma (* v 3) v 1) (* 3 (* v v)) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v 3) v 1) (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v 3) v 1))) (sqrt (fma (sqrt (fma (fma (* v 3) v 1) (* 3 (* v v)) 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (fma (* v 3) v 1) (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 279 / 424 ] 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 (56 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (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 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma v (* v 3) 1))) (sqrt (fma (* v v) (sqrt (fma (* (* v v) 3) (fma v (* v 3) 1) 1)) (sqrt (fma (* (* v v) 3) (fma v (* v 3) 1) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma v (* v 3) 1))) (sqrt (fma (* v v) (sqrt (fma (* (* v v) 3) (fma v (* v 3) 1) 1)) (sqrt (fma (* (* v v) 3) (fma v (* v 3) 1) 1))))) * * * * [misc]progress: [ 280 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (pow (* v v) 3)) (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))))) (/ 4 (* (- 1 (pow (* v v) 3)) (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 (* (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 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))))) * * * * [misc]progress: [ 281 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (270 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 (* (- 1 (* v v)) (sqrt 2)))))) * [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 (* (- 1 (* v v)) (sqrt 2)))))) * [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 (50 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 282 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [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 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4))) * * * * [misc]progress: [ 283 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* v 3))))))) * [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 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v 3) v 1))) (sqrt (fma 4 (* v v) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* v 3) v 1))) (sqrt (fma 4 (* v v) 4))) * * * * [misc]progress: [ 284 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)))) (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)))) (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)))) (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 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (fma v v 1) 1)) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 285 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* v (* v 3))))))) * [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 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 286 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (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 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (* (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) 4))) * * * * [misc]progress: [ 287 / 424 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* 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)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [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 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma 3 (* v v) 1)))) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 288 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (310 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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (sqrt (fma (* (* v 3) v) (fma 3 (* v v) 1) 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma 3 (* v v) 1))) (sqrt (sqrt (fma (* (* v 3) v) (fma 3 (* v v) 1) 1)))) * * * * [misc]progress: [ 289 / 424 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [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 (20 enodes) * [exit]simplify: Simplified to (sqrt (fma 3 (* v v) 1)) * [exit]simplify: Simplified to (sqrt (fma 3 (* v v) 1)) * * * * [misc]progress: [ 290 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [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 (22 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (sqrt (fma 3 (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (sqrt (fma 3 (* v v) 1)))) * * * * [misc]progress: [ 291 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)) (* (fma (fma v v 1) (* v v) 1) 4))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (fma (fma 3 (* v v) 1) (* (* v v) 3) 1)) (* (fma (fma v v 1) (* v v) 1) 4))) (sqrt 4)) * * * * [misc]progress: [ 292 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [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 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) 4 4) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (fma (* v v) 4 4) (sqrt (fma (fma 3 (* v v) 1) (* 3 (* v v)) 1)))) (sqrt 4)) * * * * [misc]progress: [ 293 / 424 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (201 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))))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [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 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) 3 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) 3 1)))) (sqrt 4)) * * * * [misc]progress: [ 294 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* 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) (* 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))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (fma v v 1)) (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * * * * [misc]progress: [ 295 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt 4)) * * * * [misc]progress: [ 296 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ (/ 4 (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 (pow (* 3 (* v v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (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 (36 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (* v v) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))))) * * * * [misc]progress: [ 297 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 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)) (* 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 (* (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 (37 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (fma (sqrt (fma (* v v) 3 1)) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* v v) 3 1))))) * * * * [misc]progress: [ 298 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (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 (51 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* 3 v) v 1)) (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (sqrt (fma (* 3 v) v 1)) (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * * * * [misc]progress: [ 299 / 424 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4)) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (fma 4 (fma (* v v) (* v v) (* v v)) 4)) (sqrt 4)) * * * * [misc]progress: [ 300 / 424 ] 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 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [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 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v 4) v 4)) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (fma (* v 4) v 4)) (sqrt 4)) * * * * [misc]progress: [ 301 / 424 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (fma (* v v) (* v v) (fma v v 1))) (sqrt 4)) * * * * [misc]progress: [ 302 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (/ (sqrt 2) 4) (- 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))) (* (/ (sqrt 2) 4) (- 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 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt 4)) * [exit]simplify: Simplified to (* (hypot 1 v) (sqrt 4)) * * * * [misc]progress: [ 303 / 424 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1)))) (sqrt 4)) * * * * [misc]progress: [ 304 / 424 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (190 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 (* 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) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (fma (* 3 v) v 1)))) (sqrt 4)) * * * * [misc]progress: [ 305 / 424 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (fma (* 3 3) (* v v) 3) (* v v) 1))) (sqrt 4)) * * * * [misc]progress: [ 306 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (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)) (/ 4 (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 (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* 3 v) v 1))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (* 3 v) v 1))) (sqrt 4)) * * * * [misc]progress: [ 307 / 424 ] 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: [ 308 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 309 / 424 ] 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: [ 310 / 424 ] 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: [ 311 / 424 ] 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: [ 312 / 424 ] 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: [ 313 / 424 ] 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: [ 314 / 424 ] 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: [ 315 / 424 ] 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: [ 316 / 424 ] 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: [ 317 / 424 ] 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: [ 318 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (207 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))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * * * * [misc]progress: [ 319 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * * * * [misc]progress: [ 320 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * * * * [misc]progress: [ 321 / 424 ] 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: [ 322 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (241 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))) (/ 4 (* (- 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))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * * * * [misc]progress: [ 323 / 424 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (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))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * * * * [misc]progress: [ 324 / 424 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * * * * [misc]progress: [ 325 / 424 ] 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: [ 326 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* v (* v 3))))))) * * * * [misc]progress: [ 327 / 424 ] 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: [ 328 / 424 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (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)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * * * [misc]progress: [ 329 / 424 ] 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: [ 330 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 331 / 424 ] 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: [ 332 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (227 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))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [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))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 333 / 424 ] 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: [ 334 / 424 ] 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: [ 335 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (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))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * * * * [misc]progress: [ 336 / 424 ] 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 (47 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * * * * [misc]progress: [ 337 / 424 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (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 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * * * * [misc]progress: [ 338 / 424 ] 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: [ 339 / 424 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * * * * [misc]progress: [ 340 / 424 ] 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 (51 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3))))))) * * * * [misc]progress: [ 341 / 424 ] 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 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (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 (* v v))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * * * * [misc]progress: [ 342 / 424 ] 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: [ 343 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 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 (* (- 1 (* v v)) (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))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * * * * [misc]progress: [ 344 / 424 ] 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: [ 345 / 424 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 346 / 424 ] 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: [ 347 / 424 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (162 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) 4)) (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) 4)) (sqrt (- 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 348 / 424 ] 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: [ 349 / 424 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* 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))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 350 / 424 ] 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: [ 351 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 352 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* 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 (expm1 (* 3 (* v v))) * [exit]simplify: Simplified to (expm1 (* 3 (* v v))) * * * * [misc]progress: [ 353 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* 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 (log1p (* 3 (* v v))) * [exit]simplify: Simplified to (log1p (* 3 (* v v))) * * * * [misc]progress: [ 354 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 355 / 424 ] 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 (26 enodes) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * * * * [misc]progress: [ 356 / 424 ] 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: [ 357 / 424 ] 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: [ 358 / 424 ] 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: [ 359 / 424 ] 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: [ 360 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 361 / 424 ] 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: [ 362 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 363 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* 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 (expm1 (* 3 (* v v))) * [exit]simplify: Simplified to (expm1 (* 3 (* v v))) * * * * [misc]progress: [ 364 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* 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 (log1p (* 3 (* v v))) * [exit]simplify: Simplified to (log1p (* 3 (* v v))) * * * * [misc]progress: [ 365 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 366 / 424 ] 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 (26 enodes) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * [exit]simplify: Simplified to (fma 2 (log v) (log 3)) * * * * [misc]progress: [ 367 / 424 ] 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: [ 368 / 424 ] 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: [ 369 / 424 ] 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: [ 370 / 424 ] 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: [ 371 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 372 / 424 ] 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: [ 373 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 374 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (/ (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 (expm1 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (expm1 (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 375 / 424 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (/ (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 (log1p (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (log1p (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 376 / 424 ] 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: [ 377 / 424 ] 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: [ 378 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 379 / 424 ] 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: [ 380 / 424 ] 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: [ 381 / 424 ] 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: [ 382 / 424 ] 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: [ 383 / 424 ] 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: [ 384 / 424 ] 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: [ 385 / 424 ] 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: [ 386 / 424 ] 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: [ 387 / 424 ] 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: [ 388 / 424 ] 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 (45 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma (* v v) (fma (* 3 3) (* v v) 3) 1))) * * * * [misc]progress: [ 389 / 424 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (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 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (fma 4 (* v v) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * [exit]simplify: Simplified to (* (fma 4 (* v v) 4) (sqrt (fma (* 3 (* v v)) (fma 3 (* v v) 1) 1))) * * * * [misc]progress: [ 390 / 424 ] 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 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (* (* (fma (* v v) (fma v v 1) 1) 4) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 391 / 424 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (135 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 (* (* 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 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * [exit]simplify: Simplified to (* (* (fma v v 1) 4) (sqrt (fma (* 3 v) v 1))) * * * * [misc]progress: [ 392 / 424 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (fma (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1))) (fma (* v v) (* v v) (* v v)) (sqrt (fma (* (* 3 v) v) (* (* 3 v) v) (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 393 / 424 ] 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 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) * [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 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) * [exit]simplify: Simplified to (fma (* v v) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1))) (sqrt (fma (* 3 (* v v)) (* 3 (* v v)) (fma (* 3 v) v 1)))) * * * * [misc]progress: [ 394 / 424 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* 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 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) (sqrt (fma 3 (* v v) 1)) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 395 / 424 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) 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 (46 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))) * [exit]simplify: Simplified to (fma (sqrt (fma 3 (* v v) 1)) (* v v) (sqrt (fma 3 (* v v) 1))) * * * * [misc]progress: [ 396 / 424 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * [exit]simplify: Simplified to (fma (fma (* v v) (* v v) (* v v)) 4 4) * * * * [misc]progress: [ 397 / 424 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 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 (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (fma (* v v) 4 4) * [exit]simplify: Simplified to (fma (* v v) 4 4) * * * * [misc]progress: [ 398 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 399 / 424 ] 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: [ 400 / 424 ] 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: [ 401 / 424 ] 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: [ 402 / 424 ] 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: [ 403 / 424 ] 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: [ 404 / 424 ] 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: [ 405 / 424 ] 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: [ 406 / 424 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * * * [misc]progress: [ 407 / 424 ] 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: [ 408 / 424 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (139 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))) * * * * [misc]progress: [ 409 / 424 ] 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: [ 410 / 424 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 411 / 424 ] 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: [ 412 / 424 ] simplifiying candidate # * * * * [misc]progress: [ 413 / 424 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- (fma 3/32 (pow v 4) 1/4) (* (* 5/8 v) v))) * * * * [misc]progress: [ 414 / 424 ] 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: [ 415 / 424 ] 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: [ 416 / 424 ] 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: [ 417 / 424 ] 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: [ 418 / 424 ] 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: [ 419 / 424 ] 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: [ 420 / 424 ] 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: [ 421 / 424 ] 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: [ 422 / 424 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt 2) (- (fma 3/32 (pow v 4) 1/4) (* (* v v) 5/8)))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * * * * [misc]progress: [ 423 / 424 ] 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 (90 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (fma (/ (sqrt 2) (* (sqrt -3) v)) (/ 1/32 -3) (fma (/ (sqrt 2) (* (sqrt -3) v)) 1/8 (* (* (sqrt -3) v) (* (sqrt 2) 1/4)))) (fma (* (pow v 3) (* (sqrt -3) (sqrt 2))) 1/4 (* (* v 1/8) (/ (sqrt 2) (sqrt -3))))))) * * * * [misc]progress: [ 424 / 424 ] 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 (92 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (- (fma (* (* 1/4 (sqrt -3)) (* (sqrt 2) (* v v))) v (- (/ (* (sqrt 2) 1/8) (/ (sqrt -3) v)) (* (/ 1/32 (sqrt -3)) (/ (sqrt 2) (* -3 v))))) (fma (/ (/ (sqrt 2) (sqrt -3)) v) 1/8 (* (* (sqrt -3) (* v 1/4)) (sqrt 2)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (expm1 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (expm1 (* (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (- 1 (* v v)))) * [exit]simplify: Simplified to (expm1 (* (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (- 1 (* v v))))