* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 111 additional inputs, on iter 1 have 145 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 62 additional inputs, on iter 2 have 194 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 36 additional inputs, on iter 3 have 220 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 19 additional inputs, on iter 4 have 237 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 6 have 251 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 254 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [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 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (+ (* -3 (* v v)) 1))) * * [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 / 2 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] 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 / 2 ] 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)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) * [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 2) (* v (sqrt -3)))) (* 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 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 41 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v (* -3 v)))) (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (pow (* (sqrt (+ 1 (* v (* -3 v)))) (/ (sqrt 2) 4)) 1) (- 1 (* v v)))) * * * * [misc]progress: [ 11 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 41 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* v (* -3 v))))) (log (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (exp (+ (log (sqrt (+ 1 (* v (* -3 v))))) (log (/ (sqrt 2) 4)))) (- 1 (* v v)))) * * * * [misc]progress: [ 13 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 41 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* -3 (* v v)))) (* (/ (sqrt 2) 4) (+ 1/8 (* (* v v) -3/8)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (cbrt (* (sqrt (+ 1 (* -3 (* v v)))) (* (/ (sqrt 2) 4) (+ 1/8 (* (* v v) -3/8))))) (- 1 (* v v)))) * * * * [misc]progress: [ 16 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 41 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* v 9) (* v v)) (* (* -3 v) (* v v))) 1)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (+ (* (* (* v 9) (* v v)) (* (* -3 v) (* v v))) 1)) (sqrt 2)) (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (- 1 (* v v)))) * [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 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (pow v 4) 9) 1) (* 3 (* v v)))) 4) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (* (sqrt (+ (+ (* (pow v 4) 9) 1) (* 3 (* v v)))) 4)) (- 1 (* v v)))) * * * * [misc]progress: [ 20 / 41 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (pow v 4) 9))) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (- 1 (* (pow v 4) 9))) (sqrt 2)) (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* 4 (sqrt (+ 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v (* 3 v)))) 4) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt (- 1 (* (pow v 4) 9))) (sqrt 2)) (* (sqrt (+ 1 (* v (* 3 v)))) 4)) (- 1 (* v v)))) * * * * [misc]progress: [ 21 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 23 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 24 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 25 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) -3))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt 1)) (sqrt (+ 1 (* (* v v) -3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 26 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 27 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) -3))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (sqrt (+ 1 (* (* v v) -3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 28 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 29 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt (/ (sqrt 2) 4)) (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 30 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (sqrt 2) (* (/ 1 4) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 32 / 41 ] simplifiying candidate # * [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 (30 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (+ (* 3 (* v v)) (* (pow v 4) 9)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (pow v 4) 9))))) (- 1 (* v v)))) * * * * [misc]progress: [ 33 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (+ 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 34 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v (* v -3)) 1)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (* (sqrt (+ (* v (* v -3)) 1)) (sqrt 2)) 4) (- 1 (* v v)))) * * * * [misc]progress: [ 35 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 37 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 38 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v v) 3)))) (- 1 (* v v)))) * * * * [misc]progress: [ 39 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (+ (* 9/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (* (- 1/4 (- (* (pow v 4) 9/32) (* (* v v) -3/8))) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (- 1/4 (- (* (pow v 4) 9/32) (* (* v v) -3/8))) (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 40 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (+ (* (* (sqrt 2) (sqrt -3)) (* v 1/4)) (* (/ (sqrt 2) (sqrt -3)) (- (/ 1/8 v) (/ -1/96 (pow v 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (* (sqrt 2) (sqrt -3)) (* v 1/4)) (* (/ (sqrt 2) (sqrt -3)) (- (/ 1/8 v) (/ -1/96 (pow v 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 41 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (+ (* (* (sqrt -3) -1/4) (* (sqrt 2) v)) (* (/ (sqrt 2) (sqrt -3)) (- (/ -1/96 (pow v 3)) (/ 1/8 v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (* (sqrt -3) -1/4) (* (sqrt 2) v)) (* (/ (sqrt 2) (sqrt -3)) (- (/ -1/96 (pow v 3)) (/ 1/8 v)))) (- 1 (* v v)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1 2) * * * * [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 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 1 1 2 2 1 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 2 1 1 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 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* 3 (* v v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* 3 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* 3 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 3 (* v v))))) in v * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -3/2) 1)) (pow 1 1)))) 2) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 0))) into -1/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* 3 (* v v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* 3 (* v v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* 3 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 3 (* v v))))) in v * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -3/2) 1)) (pow 1 1)))) 2) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 0))) into -1/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/2 1) 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -3/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -3/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -3/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -9/8) 1)) (pow 1 1)))) 24) into -9/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -9/4) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 0))))) into -3/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -3/4 1) 1)))) into -5/8 * [misc]backup-simplify: Simplify -5/8 into -5/8 * [misc]backup-simplify: Simplify (+ (* -5/8 (pow v 4)) (+ (* -1/2 (pow v 2)) 1)) into (- 1 (+ (* 5/8 (pow v 4)) (* 1/2 (pow v 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [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 (log (sqrt -3)) into (log (sqrt -3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -3)) (log v))) into (* 1/3 (- (log (sqrt -3)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -3)) (log v)))) into (exp (* 1/3 (- (log (sqrt -3)) (log v)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [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 (log (sqrt -3)) into (log (sqrt -3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -3)) (log v))) into (* 1/3 (- (log (sqrt -3)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -3)) (log v)))) into (exp (* 1/3 (- (log (sqrt -3)) (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -3)) (log v)))) into (exp (* 1/3 (- (log (sqrt -3)) (log v)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -3)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 1) 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) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -3) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -3))) 1)) (pow (sqrt -3) 1)))) 2) into (/ 1/2 (pow (sqrt -3) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -3) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -3)) (log v))))) into (* 1/6 (/ 1 (pow (sqrt -3) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (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 (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -3))) 1)) (pow (sqrt -3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -3) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -3)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 1) 1)) (* (/ (pow 0 1) 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 (+ 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -3))) 1)) (pow (sqrt -3) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -3))) 2)) (pow (sqrt -3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -3) 3))) 1)) (pow (sqrt -3) 1)))) 24) into (/ -1/4 (pow (sqrt -3) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -3) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -3) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -3)) (log v))))))) into (- (* 1/12 (/ 1 (pow (sqrt -3) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -3) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v))))) (pow (sqrt -3) 4))) (pow (/ 1 v) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v))))) (pow (sqrt -3) 2))) (pow (/ 1 v) 2)) (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v))))))) into (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v))))) (* (pow (sqrt -3) 2) (pow v 2)))) (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v))))) (* (pow (sqrt -3) 4) (pow v 4))))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [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 (log (sqrt -3)) into (log (sqrt -3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -3)) (log v))) into (* 1/3 (- (log (sqrt -3)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -3)) (log v)))) into (exp (* 1/3 (- (log (sqrt -3)) (log v)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [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 (log (sqrt -3)) into (log (sqrt -3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -3)) (log v))) into (* 1/3 (- (log (sqrt -3)) (log v))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -3)) (log v)))) into (exp (* 1/3 (- (log (sqrt -3)) (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -3)) (log v)))) into (exp (* 1/3 (- (log (sqrt -3)) (log v)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -3)) (log v)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 1) 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 (+ 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 (/ (* (pow (* 1 0) 2)) (pow (sqrt -3) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -3))) 1)) (pow (sqrt -3) 1)))) 2) into (/ 1/2 (pow (sqrt -3) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -3) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -3)) (log v))))) into (* 1/6 (/ 1 (pow (sqrt -3) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (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 (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -3))) 1)) (pow (sqrt -3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -3) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -3)) (log v)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 1) 1)) (* (/ (pow 0 1) 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 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -3))) 1)) (pow (sqrt -3) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -3))) 2)) (pow (sqrt -3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -3) 3))) 1)) (pow (sqrt -3) 1)))) 24) into (/ -1/4 (pow (sqrt -3) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log v)) (log (sqrt -3))) into (- (log (sqrt -3)) (log v)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -3) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -3) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -3)) (log v))))))) into (- (* 1/12 (/ 1 (pow (sqrt -3) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -3) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -3) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log v)))) (pow (sqrt -3) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 (- v)))))) (pow (sqrt -3) 4))) (pow (/ 1 (- v)) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 (- v)))))) (pow (sqrt -3) 2))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 (- v)))))))) into (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ -1 v))))) (* (pow (sqrt -3) 2) (pow v 2)))) (exp (* 1/3 (- (log (sqrt -3)) (log (/ -1 v)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ -1 v))))) (* (pow (sqrt -3) 4) (pow v 4))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (* (cbrt (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (cbrt (cbrt (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (* (cbrt (fabs (cbrt (- 1 (* (* v v) 3))))) (cbrt (sqrt (cbrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (* (cbrt (sqrt (sqrt (- 1 (* (* v 3) v))))) (cbrt (sqrt (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (* 1 (cbrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (* (cbrt (sqrt (sqrt (- 1 (* (* v 3) v))))) (cbrt (sqrt (sqrt (- 1 (* 3 (* v v)))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (* 1 (cbrt (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (* (* v v) (* 9 v)) (* (* -3 v) (* v v))) 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (/ (cbrt (sqrt (+ (* (* (* v v) (* 9 v)) (* (* -3 v) (* v v))) 1))) (cbrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (pow v 4) -9) 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (/ (cbrt (sqrt (+ (* (pow v 4) -9) 1))) (cbrt (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 1 2 2 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 1 2 1 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 1 2 1 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 1 2 1 1 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 5/8 (pow v 4)) (* 1/2 (pow v 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (* v (* -1/2 v)) (+ (* 5/8 (pow v 4)) -1)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (- (* v (* -1/2 v)) (+ (* 5/8 (pow v 4)) -1))) (- 1 (* v v)))) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v))))) (* (pow (sqrt -3) 2) (pow v 2)))) (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ 1 v))))) (* (pow (sqrt -3) 4) (pow v 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (+ (* (/ -5/72 (pow (sqrt -3) 4)) (/ (pow (sqrt -3) 1/3) (/ (pow v 4) (pow v 1/3)))) (* (+ (/ (/ -1/18 v) v) 1) (* (pow (sqrt -3) 1/3) (pow v 1/3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (+ (* (/ -5/72 (pow (sqrt -3) 4)) (/ (pow (sqrt -3) 1/3) (/ (pow v 4) (pow v 1/3)))) (* (+ (/ (/ -1/18 v) v) 1) (* (pow (sqrt -3) 1/3) (pow v 1/3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ -1 v))))) (* (pow (sqrt -3) 2) (pow v 2)))) (exp (* 1/3 (- (log (sqrt -3)) (log (/ -1 v)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -3)) (log (/ -1 v))))) (* (pow (sqrt -3) 4) (pow v 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (- (pow (exp 1/3) (- (log (sqrt -3)) (log (/ -1 v)))) (* (pow (exp 1/3) (- (log (sqrt -3)) (log (/ -1 v)))) (- (/ (/ 5/72 (pow v 4)) (pow (sqrt -3) 4)) (/ (/ -1/18 v) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (- (pow (exp 1/3) (- (log (sqrt -3)) (log (/ -1 v)))) (* (pow (exp 1/3) (- (log (sqrt -3)) (log (/ -1 v)))) (- (/ (/ 5/72 (pow v 4)) (pow (sqrt -3) 4)) (/ (/ -1/18 v) v))))) (- 1 (* v v)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 2 2 1 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 2 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 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (sqrt 2) 4)) in v * [misc]taylor: Rewrote expression to (pow (/ (sqrt 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sqrt 2) 4)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sqrt 2) 4))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt 2) 4)) 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]backup-simplify: Simplify (log (* 1/4 (sqrt 2))) into (log (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/4 (sqrt 2)))) into (* 1/3 (log (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/4 (sqrt 2))))) into (pow (* 1/4 (sqrt 2)) 1/3) * [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 (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (sqrt 2) 4)) in v * [misc]taylor: Rewrote expression to (pow (/ (sqrt 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sqrt 2) 4)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sqrt 2) 4))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt 2) 4)) 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]backup-simplify: Simplify (log (* 1/4 (sqrt 2))) into (log (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/4 (sqrt 2)))) into (* 1/3 (log (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/4 (sqrt 2))))) into (pow (* 1/4 (sqrt 2)) 1/3) * [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 (* (pow (* 1/4 (sqrt 2)) 1/3) 1) into (pow (* (sqrt 2) 1/4) 1/3) * [misc]backup-simplify: Simplify (pow (* (sqrt 2) 1/4) 1/3) into (pow (* 1/4 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/4 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) 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 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/2 (pow (* (sqrt 2) 1/4) 1/3))) * [misc]backup-simplify: Simplify (- (* 3/2 (pow (* (sqrt 2) 1/4) 1/3))) into (- (* 3/2 (pow (* (sqrt 2) 1/4) 1/3))) * [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) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/4 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/8 (pow (* (sqrt 2) 1/4) 1/3))) * [misc]backup-simplify: Simplify (- (* 9/8 (pow (* (sqrt 2) 1/4) 1/3))) into (- (* 9/8 (pow (* (sqrt 2) 1/4) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 9/8 (pow (* (sqrt 2) 1/4) 1/3))) (pow v 4)) (+ (* (- (* 3/2 (pow (* (sqrt 2) 1/4) 1/3))) (pow v 2)) (pow (* 1/4 (sqrt 2)) 1/3))) into (- (pow (* 1/4 (sqrt 2)) 1/3) (+ (* 9/8 (* (pow (* (sqrt 2) 1/4) 1/3) (pow v 4))) (* 3/2 (* (pow (* (sqrt 2) 1/4) 1/3) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (sqrt 2) 4)) in v * [misc]taylor: Rewrote expression to (pow (/ (sqrt 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sqrt 2) 4)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sqrt 2) 4))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt 2) 4)) 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]backup-simplify: Simplify (log (* 1/4 (sqrt 2))) into (log (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/4 (sqrt 2)))) into (* 1/3 (log (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/4 (sqrt 2))))) into (pow (* 1/4 (sqrt 2)) 1/3) * [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 (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (sqrt 2) 4)) in v * [misc]taylor: Rewrote expression to (pow (/ (sqrt 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sqrt 2) 4)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sqrt 2) 4))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt 2) 4)) 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]backup-simplify: Simplify (log (* 1/4 (sqrt 2))) into (log (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/4 (sqrt 2)))) into (* 1/3 (log (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/4 (sqrt 2))))) into (pow (* 1/4 (sqrt 2)) 1/3) * [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 (* (pow (* 1/4 (sqrt 2)) 1/3) (sqrt -3)) into (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) * [misc]backup-simplify: Simplify (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) into (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/4 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) 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 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (sqrt -3)))) * [misc]backup-simplify: Simplify (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (sqrt -3)))) into (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/4 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) into (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) (pow (/ 1 v) 3)) (+ (* (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (sqrt -3)))) (/ 1 v)) (* (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* v (sqrt -3))))) (* (pow (* (sqrt 2) 1/4) 1/3) (* v (sqrt -3)))) (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* (pow v 3) (pow (sqrt -3) 3)))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (sqrt 2) 4)) in v * [misc]taylor: Rewrote expression to (pow (/ (sqrt 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sqrt 2) 4)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sqrt 2) 4))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt 2) 4)) 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]backup-simplify: Simplify (log (* 1/4 (sqrt 2))) into (log (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/4 (sqrt 2)))) into (* 1/3 (log (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/4 (sqrt 2))))) into (pow (* 1/4 (sqrt 2)) 1/3) * [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 (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (sqrt 2) 4)) in v * [misc]taylor: Rewrote expression to (pow (/ (sqrt 2) 4) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sqrt 2) 4)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sqrt 2) 4))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt 2) 4)) 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]backup-simplify: Simplify (log (* 1/4 (sqrt 2))) into (log (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/4 (sqrt 2)))) into (* 1/3 (log (* 1/4 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/4 (sqrt 2))))) into (pow (* 1/4 (sqrt 2)) 1/3) * [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 (* (pow (* 1/4 (sqrt 2)) 1/3) (sqrt -3)) into (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) * [misc]backup-simplify: Simplify (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) into (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/4 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) 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 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (sqrt -3)))) * [misc]backup-simplify: Simplify (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (sqrt -3)))) into (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/4 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/4 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/4 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/4 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/4 (sqrt 2)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/4 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/4 (sqrt 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (* 1/4 (sqrt 2)) 1/3) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) into (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (pow (sqrt -3) 3))))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (sqrt -3)))) (/ 1 (- v))) (* (* (pow (* (sqrt 2) 1/4) 1/3) (sqrt -3)) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))) (+ (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* v (sqrt -3))))) (* (pow (* (sqrt 2) 1/4) 1/3) (* v (sqrt -3))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) 4) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (pow (/ (sqrt 2) 4) (+ 1/3 1/3)) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (pow (/ (sqrt 2) 4) 2/3) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (pow (cbrt (/ (sqrt 2) 4)) (+ 1 1)) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (pow (cbrt (/ (sqrt 2) 4)) 2) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 3 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) * * [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 (19 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to 1/8 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (pow 1/8 1/3) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 4 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (pow (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) 1) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 5 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (pow (cbrt (/ (sqrt 2) 4)) (+ 1 1)) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 7 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (sqrt 2) 4))) (log (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt 2) 4))) (log (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (exp (+ (log (cbrt (/ (sqrt 2) 4))) (log (cbrt (/ (sqrt 2) 4))))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 9 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) * * [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 (19 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to 1/8 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (cbrt 1/8) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 12 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt 4) (cbrt 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* (cbrt 4) (cbrt 4)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cbrt 4) (cbrt 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt 4) (cbrt 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 16 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 18 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (sqrt (/ (sqrt 2) 4)))) (cbrt (sqrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt 1)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt 1/4) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (sqrt 2))) (cbrt 1/4)) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (* (* (cbrt (/ (sqrt 2) 4)) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 22 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (* (* (cbrt (/ (sqrt 2) 4)) (sqrt (cbrt (/ (sqrt 2) 4)))) (sqrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 23 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (* (* (cbrt (/ (sqrt 2) 4)) 1) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 24 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 25 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (cbrt (sqrt (/ (sqrt 2) 4))) (* (cbrt (sqrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 26 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* 1 (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (cbrt (sqrt 2)) (* (cbrt (/ 1 4)) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 28 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (sqrt (cbrt (/ (sqrt 2) 4))) (* (sqrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (* (* (/ (* (cbrt (/ (sqrt 2) 4)) (cbrt (sqrt 2))) (cbrt 4)) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt 2)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt 2)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (/ (sqrt 2) 4))) (cbrt 4)) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 33 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 78 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* -3 (* v v)))) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (pow (* (sqrt (+ 1 (* -3 (* v v)))) (cbrt (/ (sqrt 2) 4))) 1)) (- 1 (* v v)))) * * * * [misc]progress: [ 44 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* v (* -3 v)) 1))) (log (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (exp (+ (log (sqrt (+ (* v (* -3 v)) 1))) (log (cbrt (/ (sqrt 2) 4)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 46 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v (* -3 v)))) (+ (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v (* -3 v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (cbrt (* (sqrt (+ 1 (* v (* -3 v)))) (+ (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* v (* -3 v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (* v v) (* 9 v)) (* (* v v) (* -3 v))))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (/ (* (sqrt (+ 1 (* (* (* v v) (* 9 v)) (* (* v v) (* -3 v))))) (cbrt (sqrt 2))) (* (cbrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* (cbrt 4) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt 4) (sqrt (+ (* 3 (* v v)) (+ (* (pow v 4) 9) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (/ (* (cbrt (sqrt 2)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (* (cbrt 4) (sqrt (+ (* 3 (* v v)) (+ (* (pow v 4) 9) 1)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 53 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt 2)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* -9 (pow v 4)))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (/ (* (sqrt (+ 1 (* -9 (pow v 4)))) (cbrt (sqrt 2))) (* (cbrt 4) (sqrt (+ 1 (* 3 (* v v))))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* (cbrt 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 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* 3 (* v v)))) (cbrt 4)) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (/ (* (sqrt (+ 1 (* -9 (pow v 4)))) (cbrt (sqrt 2))) (* (sqrt (+ 1 (* 3 (* v v)))) (cbrt 4)))) (- 1 (* v v)))) * * * * [misc]progress: [ 54 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (* (cbrt (/ (sqrt 2) 4)) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 56 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (* (cbrt (/ (sqrt 2) 4)) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 57 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (* (cbrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 58 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) -3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (* (cbrt (/ (sqrt 2) 4)) (sqrt 1)) (sqrt (+ 1 (* (* v v) -3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (* (cbrt (/ (sqrt 2) 4)) (sqrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 60 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) -3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (* (cbrt (/ (sqrt 2) 4)) 1) (sqrt (+ 1 (* (* v v) -3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 61 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (sqrt (/ (sqrt 2) 4))) (* (cbrt (sqrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 63 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* 1 (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (sqrt 2)) (* (cbrt (/ 1 4)) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (sqrt (cbrt (/ (sqrt 2) 4))) (* (sqrt (cbrt (/ (sqrt 2) 4))) (sqrt (- 1 (* 3 (* v v))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * [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 (30 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (+ (* 3 (* v v)) (* (pow v 4) 9)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (/ (* (cbrt (/ (sqrt 2) 4)) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (sqrt (+ 1 (+ (* 3 (* v v)) (* (pow v 4) 9)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* v v) 3))) * [misc]simplify: Simplified (2 1 2 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (/ (* (cbrt (/ (sqrt 2) 4)) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (+ 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 70 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt 2)) (sqrt (+ (* v (* v -3)) 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (/ (* (cbrt (sqrt 2)) (sqrt (+ (* v (* v -3)) 1))) (cbrt 4))) (- 1 (* v v)))) * * * * [misc]progress: [ 71 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 73 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 2 1 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 74 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 2 1 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 75 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 3) * [misc]simplify: Simplified (2 1 2 2 1 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v v) 3))))) (- 1 (* v v)))) * * * * [misc]progress: [ 76 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* 1/4 (sqrt 2)) 1/3) (+ (* 9/8 (* (pow (* (sqrt 2) 1/4) 1/3) (pow v 4))) (* 3/2 (* (pow (* (sqrt 2) 1/4) 1/3) (pow v 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (- (cbrt (* 1/4 (sqrt 2))) (* (cbrt (* 1/4 (sqrt 2))) (- (* (* v v) 3/2) (* -9/8 (pow v 4))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (- (cbrt (* 1/4 (sqrt 2))) (* (cbrt (* 1/4 (sqrt 2))) (- (* (* v v) 3/2) (* -9/8 (pow v 4)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* v (sqrt -3))))) (* (pow (* (sqrt 2) 1/4) 1/3) (* v (sqrt -3)))) (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* (pow v 3) (pow (sqrt -3) 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt (* (sqrt 2) 1/4)) (* (* v v) (* (* v -3) (sqrt -3)))) -1/8) (* (cbrt (* (sqrt 2) 1/4)) (+ (* v (sqrt -3)) (/ 1/2 (* v (sqrt -3)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (+ (* (/ (cbrt (* (sqrt 2) 1/4)) (* (* v v) (* (* v -3) (sqrt -3)))) -1/8) (* (cbrt (* (sqrt 2) 1/4)) (+ (* v (sqrt -3)) (/ 1/2 (* v (sqrt -3))))))) (- 1 (* v v)))) * * * * [misc]progress: [ 78 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* (pow v 3) (pow (sqrt -3) 3))))) (+ (* 1/2 (* (pow (* (sqrt 2) 1/4) 1/3) (/ 1 (* v (sqrt -3))))) (* (pow (* (sqrt 2) 1/4) 1/3) (* v (sqrt -3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (- (* (/ 1/8 (* (* (sqrt -3) (* -3 v)) (* v v))) (cbrt (* (sqrt 2) 1/4))) (* (cbrt (* (sqrt 2) 1/4)) (+ (/ 1/2 (* (sqrt -3) v)) (* (sqrt -3) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) (- (* (/ 1/8 (* (* (sqrt -3) (* -3 v)) (* v v))) (cbrt (* (sqrt 2) 1/4))) (* (cbrt (* (sqrt 2) 1/4)) (+ (/ 1/2 (* (sqrt -3) v)) (* (sqrt -3) 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 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt 2) 4)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (pow (cbrt (/ (sqrt 2) 4)) (+ 1/3 1/3)) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (pow (cbrt (/ (sqrt 2) 4)) 2/3) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 2 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (pow (cbrt (cbrt (/ (sqrt 2) 4))) (+ 1 1)) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (pow (cbrt (cbrt (/ (sqrt 2) 4))) 2) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 3 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (pow (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) 1/3) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 4 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (pow (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) 1) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 5 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (pow (cbrt (cbrt (/ (sqrt 2) 4))) (+ 1 1)) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 7 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (cbrt (/ (sqrt 2) 4)))) (log (cbrt (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (cbrt (/ (sqrt 2) 4)))) (log (cbrt (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (exp (+ (log (cbrt (cbrt (/ (sqrt 2) 4)))) (log (cbrt (cbrt (/ (sqrt 2) 4)))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 9 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 12 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt 4)) (cbrt (cbrt 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * [enter]simplify: Simplifying (* (cbrt (cbrt 4)) (cbrt (cbrt 4))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt 4)) (cbrt (cbrt 4))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt 4)) (cbrt (cbrt 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 16 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4)))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 18 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (sqrt (/ (sqrt 2) 4))))) (cbrt (cbrt (sqrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 19 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt 1))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 20 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ 1 4))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt 1/4)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt 1/4))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 21 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 22 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (sqrt (cbrt (/ (sqrt 2) 4))))) (cbrt (sqrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 23 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt 1)) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 24 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 25 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (sqrt (cbrt (cbrt (/ (sqrt 2) 4))))) (sqrt (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 26 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sqrt 2) 4))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) 1) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 27 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 28 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 29 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* 1 (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 30 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (/ 1 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 31 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 32 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 33 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* 1 (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 34 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 35 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (* (sqrt (cbrt (cbrt (/ (sqrt 2) 4)))) (* (sqrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 36 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt 4)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cbrt 4)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (* (* (* (/ (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt 4))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 38 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (* (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt 4))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 39 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (* (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 45 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (* (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) (cbrt (cbrt (sqrt (/ (sqrt 2) 4))))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 46 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (* 1 (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 47 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (/ 1 4)))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 48 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (* (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 49 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (* (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) (cbrt (sqrt (cbrt (/ (sqrt 2) 4))))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 50 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (* 1 (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 51 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (cbrt 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 52 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 61 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 62 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* 1 (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 63 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (/ 1 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 64 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 65 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 66 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (* 1 (cbrt (cbrt (/ (sqrt 2) 4))))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 67 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cbrt 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 68 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (* (cbrt (cbrt (* (cbrt (/ (sqrt 2) 4)) (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 77 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (* (cbrt (cbrt (sqrt (/ (sqrt 2) 4)))) (cbrt (cbrt (sqrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 78 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (* 1 (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 79 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (/ 1 4)))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 80 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (* (cbrt (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 81 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (* (cbrt (sqrt (cbrt (/ (sqrt 2) 4)))) (cbrt (sqrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 82 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (* 1 (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 83 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (* (* (* (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (cbrt 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 84 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 89 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 90 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * * [misc]progress: [ 91 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (* (* (* (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (* (* (* (* (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (cbrt (/ (sqrt 2) 4))) (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) (* (* (* (* (cbrt (cbrt (cbrt (/ (sqrt 2) 4)))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (cbrt (/ (sqrt 2) 4))))) (cbrt (cbrt (/ (sqrt 2) 4)))) (* (cbrt (/ (sqrt 2) 4)) (cbrt (cbrt (/ (sqrt 2) 4)))))) (- 1 (* v v))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3969 additional inputs, on iter 1 have 4031 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2026 additional inputs, on iter 2 have 5974 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1005 additional inputs, on iter 3 have 6995 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 498 additional inputs, on iter 4 have 7502 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 255 additional inputs, on iter 5 have 7745 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 116 additional inputs, on iter 6 have 7884 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 59 additional inputs, on iter 7 have 7941 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 8 have 7976 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 9 have 7985 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 10 have 7992 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7997 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7999 / 8000 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs