* [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: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 131 additional inputs, on iter 1 have 125 / 256 * * * * [misc]points: Computing exacts on every 8 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 131 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 60 additional inputs, on iter 2 have 196 / 256 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 60 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 3 have 231 / 256 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 4 have 244 / 256 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 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 (72 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* v (* 3 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* v (* 3 v)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v (* 3 v)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 3 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 3) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 3) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 3) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 3) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 3) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 3) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 3) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 v) (* 3 (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* 3 (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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)) 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) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* 3 (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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)) 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) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- v)) (* 3 (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* 3 (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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))) 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* 3 (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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))) 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) 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 (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))))) into 0 * [misc]backup-simplify: Simplify 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 (+ (* 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3))))))) into 0 * [misc]backup-simplify: Simplify 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 2) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* v (* 3 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v (* 3 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v (* 3 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v (* 3 v)) in v * [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) 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v (* 3 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v (* 3 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v (* 3 v)) in v * [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) 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 3) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 3) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 3) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify -9/8 into -9/8 * [misc]backup-simplify: Simplify (+ (* -9/8 (pow v 4)) (+ (* -3/2 (pow v 2)) 1)) into (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (pow v 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (* 3 (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* 3 (/ 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 (* 3 (/ 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) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (* 3 (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* 3 (/ 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 (* 3 (/ 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) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 v)) (* (sqrt -3) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* 3 (/ 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 (* 3 (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) 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 (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* 3 (/ 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 (* 3 (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) 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 (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 (- v))) (* (sqrt -3) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* 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 (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* 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 (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- 0 (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) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (sqrt 2))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 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)) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2))) into (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 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) (+ (* 0 0) (* 0 -1))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 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) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 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)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (sqrt 2)) (* (* -1/4 (sqrt 2)) (pow (/ 1 (/ 1 v)) 2))) into (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 0 (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) (+ (* 0 0) (* 0 -1))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 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)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 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)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (sqrt 2)) (* (* -1/4 (sqrt 2)) (pow (/ 1 (/ 1 (- v))) 2))) into (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* 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 (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v (* 3 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v (* 3 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v (* 3 v)) in v * [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) 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 1 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) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* 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 (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v (* 3 v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* v (* 3 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v (* 3 v)) in v * [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) 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 0 0)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 3) (* 1 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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 3) (* 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- 0 (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) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* (- (* 1/4 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 3) (* 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* (- (* 1/4 (sqrt 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 3) (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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)) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 2))) -3/2) (+ (* 0 0) (* 0 1))))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (* 3 (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* 3 (/ 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 (* 3 (/ 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) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 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) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (* 3 (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (* 3 (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* 3 (/ 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 (* 3 (/ 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) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (* 1 3) 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 (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- 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 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -1) into (* -1/4 (sqrt 2)) * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -1)) 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 (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 0 (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) (+ (* 0 0) (* 0 -1))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (* 1/4 (sqrt 2)) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (* 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)) (* 0 (/ 0 1)) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* 3 (/ 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 (* 3 (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) 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 (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- 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) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (- 1 (* (/ 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 (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (* 3 (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* 3 (/ 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 (* 3 (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 3 -1) into -3 * [misc]backup-simplify: Simplify (* -1 -3) 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 (+ (* 3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -3)) into 0 * [misc]backup-simplify: Simplify (- 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 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) -1) into (* -1/4 (sqrt 2)) * [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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 -1)) 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 (+ (* 3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 0 (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) (+ (* 0 0) (* 0 -1))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* (* 1/4 (sqrt 2)) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (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 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* v (* 3 v)))) (cbrt (- 1 (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (fabs (cbrt (- 1 (* (* 3 v) v)))) (sqrt (cbrt (- 1 (* v (* 3 v)))))))) * * * * [misc]progress: [ 17 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (sqrt (sqrt (- 1 (* (* 3 v) v)))) (sqrt (sqrt (- 1 (* v (* 3 v)))))))) * * * * [misc]progress: [ 18 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (sqrt 1) (sqrt (- 1 (* v (* 3 v))))))) * * * * [misc]progress: [ 19 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (* 3 (* v v)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))))) * * * * [misc]progress: [ 20 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (sqrt (+ 1 (* v (* 3 v))))))) * * * * [misc]progress: [ 21 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v (* 3 v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (fabs (sqrt (- 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 23 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (pow (/ (- 1 (* v v)) (/ 4 (sqrt 2))) 1) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 25 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (exp (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 27 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 2 4) 4) (/ 4 (sqrt 2))) (pow (- 1 (* v v)) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (cbrt (* (/ (/ (/ 2 4) 4) (/ 4 (sqrt 2))) (pow (- 1 (* v v)) 3))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 30 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* (* v v) (* v v)))) (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (- 1 (* v (* 3 v)))))) * [enter]simplify: Simplifying (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (sqrt 2) (- (pow 1 3) (pow (* v v) 3))) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 34 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (* v v) (* (* v v) (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (- (sqrt 2) (* (* v v) (* (* v v) (sqrt 2)))) (* 4 (+ 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * [enter]simplify: Simplifying (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (+ (* (* v v) 4) 4) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (- (sqrt 2) (* (* v v) (* (* v v) (sqrt 2)))) (+ (* (* v v) 4) 4)) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 35 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (- (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 2)) (/ 4 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (+ (* (/ (sqrt 2) 4) 1) (/ (- (sqrt 2)) (/ 4 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 37 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (- (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 2)) (/ 4 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (+ (* (/ (sqrt 2) 4) 1) (/ (- (sqrt 2)) (/ 4 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 38 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* v v)) (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (- v) (/ (/ 4 v) (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (+ (* 1 (/ (sqrt 2) 4)) (/ (- v) (/ (/ 4 v) (sqrt 2)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 39 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* v v)) (/ (sqrt 2) 4)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (- v) (/ (/ 4 v) (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (+ (* 1 (/ (sqrt 2) 4)) (/ (- v) (/ (/ 4 v) (sqrt 2)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 40 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 41 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 42 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) 1) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 43 / 100 ] 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)) (- 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 44 / 100 ] 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)) (- 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 45 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 100 ] 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) (- 1 (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 47 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 48 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (* (/ (sqrt 2) 4) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 49 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (- (sqrt 2) (* (* v v) (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (* (/ (- (sqrt 2) (* (* v v) (sqrt 2))) 4) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 50 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (- 1 (* v v))) (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (- 1 (* v v))) (sqrt 2))) 1)) * * * * [misc]progress: [ 52 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (- 1 (* v v))) (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (- 1 (* v v))) (sqrt 2))) 1)) * * * * [misc]progress: [ 53 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (sqrt 2) 4)) (log (- 1 (* v v)))) (log (sqrt (- 1 (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* 3 (* v v))))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (log (sqrt (- 1 (* 3 (* v v))))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))))) * * * * [misc]progress: [ 55 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (sqrt 2) 4) (- 1 (* v v)))) (log (sqrt (- 1 (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (+ (log (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (log (sqrt (- 1 (* v (* v 3)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (log (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) (log (sqrt (- 1 (* v (* v 3)))))))) * * * * [misc]progress: [ 56 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 1 (* v (* 3 v)))) (sqrt (- 1 (* v (* 3 v))))) (sqrt (- 1 (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v 3) v))) (sqrt (- 1 (* (* v 3) v)))) (* (/ (/ 2 4) 4) (* (/ (sqrt 2) 4) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v 3) v))) (sqrt (- 1 (* (* v 3) v)))) (* (/ (/ 2 4) 4) (* (/ (sqrt 2) 4) (- 1 (* v v))))))) * * * * [misc]progress: [ 59 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (* (sqrt (- 1 (* v (* 3 v)))) (sqrt (- 1 (* v (* 3 v))))) (sqrt (- 1 (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 60 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* (* v v) (* v v))))) (* (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))))) * [enter]simplify: Simplifying (* (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ 1 (* v (* 3 v))))) (+ 4 (* (* 4 (* v v)) (+ (* v v) 1)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3)))) (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ 1 (* v (* 3 v))))) (+ 4 (* (* 4 (* v v)) (+ (* v v) 1)))))) * * * * [misc]progress: [ 64 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- (sqrt 2) (* (* (* v v) (* v v)) (* (sqrt 2) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (- (sqrt 2) (* (* (* v v) (* v v)) (* (sqrt 2) (* v v))))) (* (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ 1 (* v (* 3 v))))))) * [enter]simplify: Simplifying (* (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v (* 3 v)) 1)) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (sqrt 2) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) (* (sqrt (+ (* v (* 3 v)) 1)) (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v))))))) * * * * [misc]progress: [ 65 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- (sqrt 2) (* (* v v) (* (* v v) (sqrt 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- (sqrt 2) (* (* v v) (* (* v v) (sqrt 2))))) (* (* 4 (+ 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))))) * [enter]simplify: Simplifying (* (* 4 (+ 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (* (+ 4 (* (* 4 v) v)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (- (sqrt 2) (* (* v v) (* (* v v) (sqrt 2))))) (* (+ 4 (* (* 4 v) v)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 66 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- (sqrt 2) (* (* (* v v) (* v v)) (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- (sqrt 2) (* (* (* v v) (* v v)) (sqrt 2)))) (* (* 4 (+ 1 (* v v))) (sqrt (+ 1 (* v (* 3 v))))))) * [enter]simplify: Simplifying (* (* 4 (+ 1 (* v v))) (sqrt (+ 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* (* 4 v) v) 4)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (- (sqrt 2) (* (* (* v v) (* v v)) (sqrt 2)))) (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* (* 4 v) v) 4)))) * * * * [misc]progress: [ 67 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* v v) 3) 3)))) (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 68 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (* v v))) (* (- v) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (+ (/ (sqrt 2) 4) (* (* (/ (sqrt 2) 4) (* (* v v) (* v v))) (* (- v) v)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 1 (* v (* 3 v))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 69 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (+ 1 (* v v)) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (- (/ (sqrt 2) 4) (* (/ (sqrt 2) 4) (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * * * [misc]progress: [ 70 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* 3 v))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))) (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 71 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (sqrt 2) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- (sqrt 2) (* (sqrt 2) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* 4 (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))))) * [enter]simplify: Simplifying (* 4 (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3))))) 4) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (- (sqrt 2) (* (sqrt 2) (* v v))) (sqrt (- 1 (pow (* v (* v 3)) 3)))) (* (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3))))) 4))) * * * * [misc]progress: [ 72 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* v v) (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- (sqrt 2) (* (* v v) (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* 4 (sqrt (+ 1 (* v (* 3 v))))))) * [enter]simplify: Simplifying (* 4 (sqrt (+ 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* v v) 3))) 4) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (- (sqrt 2) (* (* v v) (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))) (* (sqrt (+ 1 (* (* v v) 3))) 4))) * * * * [misc]progress: [ 73 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (* (cbrt (sqrt (- 1 (* v (* 3 v))))) (cbrt (sqrt (- 1 (* v (* 3 v))))))) (cbrt (sqrt (- 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 75 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (* (cbrt (- 1 (* v (* 3 v)))) (cbrt (- 1 (* v (* 3 v))))))) (sqrt (cbrt (- 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 76 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (sqrt (- 1 (* v (* 3 v)))))) (sqrt (sqrt (- 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 77 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v (* 3 v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt 1)) (sqrt (- 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 78 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* 3 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (sqrt (- 1 (* v (* 3 v)))))) (sqrt (sqrt (- 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 79 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v (* 3 v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (* (/ (sqrt 2) 4) (- 1 (* v v))) 1) (sqrt (- 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 80 / 100 ] 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) to (λ (v) (* (/ (sqrt 2) 4) (* (- 1 (* v v)) (sqrt (- 1 (* v (* 3 v))))))) * * * * [misc]progress: [ 81 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* v (* 3 v)) (* v (* 3 v))) (* 1 (* v (* 3 v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- (pow 1 3) (pow (* v (* 3 v)) 3)))) (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))))) * * * * [misc]progress: [ 82 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* v (* 3 v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* 3 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- (* 1 1) (* (* v (* 3 v)) (* v (* 3 v)))))) (sqrt (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 83 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* (* v v) (sqrt 2)) (* (* v v) (* v v)))) (sqrt (- 1 (* v (* 3 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- (sqrt 2) (* (* (* v v) (sqrt 2)) (* (* v v) (* v v)))) (sqrt (- 1 (* v (* 3 v))))) (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 84 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))) (* 4 (+ 1 (* v v))))) * * * * [misc]progress: [ 85 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * * * [misc]progress: [ 86 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 87 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (* v (* 3 v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* v v) (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- (sqrt 2) (* (* v v) (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) 4)) * * * * [misc]progress: [ 88 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 100 ] 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 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v v) 3))))) * * * * [misc]progress: [ 90 / 100 ] 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 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v v) 3))))) * * * * [misc]progress: [ 91 / 100 ] 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 2 1 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v v) 3))))) * * * * [misc]progress: [ 92 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (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 (64 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (* v v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- 1 (+ (* 9/8 (pow v 4)) (* 3/2 (* v v)))))) * * * * [misc]progress: [ 93 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (- (+ (* (sqrt -3) v) (/ (/ 1/2 v) (sqrt -3))) (/ (/ 1/8 (* v v)) (* (* v -3) (sqrt -3)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- (+ (* (sqrt -3) v) (/ (/ 1/2 v) (sqrt -3))) (/ (/ 1/8 (* v v)) (* (* v -3) (sqrt -3)))))) * * * * [misc]progress: [ 94 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/8 (* v v)) (* (sqrt -3) (* v -3))) (+ (/ (/ 1/2 v) (sqrt -3)) (* (sqrt -3) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- (/ (/ 1/8 (* v v)) (* (sqrt -3) (* v -3))) (+ (/ (/ 1/2 v) (sqrt -3)) (* (sqrt -3) v))))) * * * * [misc]progress: [ 95 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (* 1/4 (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (- 1 (* v v)) (* 1/4 (sqrt 2))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 96 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (* 1/4 (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (- 1 (* v v)) (* 1/4 (sqrt 2))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 97 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (* 1/4 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (* 1/4 (sqrt 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (- 1 (* v v)) (* 1/4 (sqrt 2))) (sqrt (- 1 (* v (* 3 v)))))) * * * * [misc]progress: [ 98 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- (+ 1/4 (* (pow v 4) 3/32)) (* (* v 5/8) v))) * [misc]simplify: Simplified (2) to (λ (v) (* (sqrt 2) (- (+ 1/4 (* (pow v 4) 3/32)) (* (* v 5/8) v)))) * * * * [misc]progress: [ 99 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (sqrt 2) v) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3)))) (- (* (* (* 1/4 v) (sqrt 2)) (sqrt -3)) (/ (* 1/8 (sqrt 2)) (/ (sqrt -3) v)))) (* (* (* 1/4 v) (sqrt 2)) (* (sqrt -3) (* v v)))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (* (/ (sqrt 2) v) (+ (/ (/ 1/32 -3) (sqrt -3)) (/ 1/8 (sqrt -3)))) (- (* (* (* 1/4 v) (sqrt 2)) (sqrt -3)) (/ (* 1/8 (sqrt 2)) (/ (sqrt -3) v)))) (* (* (* 1/4 v) (sqrt 2)) (* (sqrt -3) (* v v))))) * * * * [misc]progress: [ 100 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 3) (sqrt -3))))) (+ (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1/8 (sqrt -3)) (* (sqrt 2) v)) (* (* (sqrt 2) (* 1/4 v)) (* (sqrt -3) (* v v)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ (/ 1/32 -3) (sqrt -3))))) (* (sqrt -3) (* (sqrt 2) (* 1/4 v)))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (* (/ 1/8 (sqrt -3)) (* (sqrt 2) v)) (* (* (sqrt 2) (* 1/4 v)) (* (sqrt -3) (* v v)))) (* (/ (sqrt 2) v) (+ (/ 1/8 (sqrt -3)) (/ (/ 1/32 -3) (sqrt -3))))) (* (sqrt -3) (* (sqrt 2) (* 1/4 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* 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]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [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]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) (* v v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in v * [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 (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) 1) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* 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]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [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]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* v v) (* v v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in v * [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 (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) 1) into (/ 4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 4 (sqrt 2))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 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 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -3/2 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 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 1) (+ (* (/ 4 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 3/8 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 0))))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 (sqrt 2)) (/ -1 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into (* 4 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ -9/8 (/ 4 (sqrt 2))) (+ (* (* 1/4 (sqrt 2)) (/ (* 4 (/ 1 (sqrt 2))) (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))) (* (- (* 3/8 (sqrt 2))) (/ 0 (/ 4 (sqrt 2)))) (* 0 (/ 0 (/ 4 (sqrt 2)))))) into (- (* 17/32 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 17/32 (sqrt 2))) into (- (* 17/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 17/32 (sqrt 2))) (pow v 4)) (+ (* (- (* 3/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (* 1/4 (sqrt 2)) (+ (* 17/32 (* (sqrt 2) (pow v 4))) (* 3/8 (* (sqrt 2) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 v) (/ 1 v)) (* (/ 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]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [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]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [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 (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) -1) into (/ -4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt -3) (/ -4 (sqrt 2))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 v) (/ 1 v)) (* (/ 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]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [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]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [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 (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) -1) into (/ -4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt -3) (/ -4 (sqrt 2))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ 0 (/ -4 (sqrt 2)))))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -3)) (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ 0 (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ 0 (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))) (* (- (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 0 (/ -4 (sqrt 2)))))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 1 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -3) 3)) (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ (- (* 4 (/ 1 (sqrt 2)))) (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))) (* (- (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 0 (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))))) into (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 (/ 1 v))) (+ (* (- (* 1/8 (/ (sqrt 2) (sqrt -3)))) (pow (/ 1 (/ 1 v)) 3)) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 5)))) into (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (* (sqrt 2) v) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (* (sqrt 2) (pow v 3)) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 5) (sqrt -3)))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 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]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [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]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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 (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) -1) into (/ -4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt -3) (/ -4 (sqrt 2))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 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]taylor: Taking taylor expansion of (/ (/ 4 (sqrt 2)) (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt 2)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [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]backup-simplify: Simplify (/ 4 (sqrt 2)) into (/ 4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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 (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4 (sqrt 2)) -1) into (/ -4 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt -3) (/ -4 (sqrt 2))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ 0 (/ -4 (sqrt 2)))))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -3)) (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ 0 (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ 0 (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))) (* (- (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 0 (/ -4 (sqrt 2)))))) 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 (sqrt 2)) (+ (* (/ 4 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 (sqrt 2)) (/ 1 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -3) 3)) (/ -4 (sqrt 2))) (+ (* (* -1/4 (* (sqrt 2) (sqrt -3))) (/ (- (* 4 (/ 1 (sqrt 2)))) (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))) (* (- (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 0 (/ -4 (sqrt 2)))) (* 0 (/ 0 (/ -4 (sqrt 2)))))) into (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 (/ 1 (- v)))) (+ (* (- (* 1/8 (/ (sqrt 2) (sqrt -3)))) (pow (/ 1 (/ 1 (- v))) 3)) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 5)))) into (- (+ (* 1/8 (/ (* (sqrt 2) (pow v 3)) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 5) (sqrt -3))))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (* (sqrt 2) v) (pow (sqrt -3) 3))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (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 2 2) * [misc]approximate: Taking taylor expansion of (* (* v v) (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) (* v v)) in v * [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 (* 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 (* (* v v) (* v v)) in v * [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 (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 0 0) (* 1 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1) (+ (* 1 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 0))))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 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 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 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 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 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 (* 1 (pow v 4)) into (pow v 4) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [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 (* (/ 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 (* (* (/ 1 v) (/ 1 v)) (* (/ 1 v) (/ 1 v))) in v * [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 (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* 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 (+ (* 1 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 (- (+ (* 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 (+ (* 1 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 (- (+ (* 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 (+ (* 1 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 (- (+ (* 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 (+ (* 1 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 (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (/ 1 v)) 4)) into (pow v 4) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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 (* (/ 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 (* (* (/ 1 (- v)) (/ 1 (- v))) (* (/ 1 (- v)) (/ 1 (- v)))) in v * [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 (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* 1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (/ 1 (- v))) 4)) into (pow v 4) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 199 ] 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 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 12 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ (/ 4 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 13 / 199 ] 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 2 1 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ (/ 4 1) (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 14 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 (* 3 (* v v))))) (- (log (/ 4 (sqrt 2))) (log (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- 1 (* (* v v) 3)))) (- (log (/ 4 (sqrt 2))) (log (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (sqrt (- 1 (* (* v v) 3)))) (- (log (/ 4 (sqrt 2))) (log (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 16 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 (* 3 (* v v))))) (log (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- 1 (* (* v v) 3)))) (log (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (sqrt (- 1 (* (* v v) 3)))) (log (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 17 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))) (/ (* (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2))) (/ 4 (sqrt 2))) (* (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (* (/ (- 1 (* (* v 3) v)) (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (* (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (* (/ (- 1 (* (* v 3) v)) (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2)))) (* (- 1 (* (* v v) (* v v))) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 20 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))) (* (* (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (* (/ (* (- 1 (* (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (* (/ (* (- 1 (* (* v v) 3)) (- 1 (* (* v v) (* v v)))) (/ (* (/ 4 (sqrt 2)) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 21 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 26 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 27 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 28 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 29 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ 4 (sqrt 2))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ 4 (sqrt 2))))) (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 30 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 31 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 32 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2))))) (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 33 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 1 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v))))) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v))))) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v))))) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 34 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 1 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (* (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (* (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (* (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 35 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 36 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 37 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) 4) (* (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) 4) (* (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 38 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 4 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) 4) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) 4) (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 39 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 40 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 4 (sqrt 2))) * * [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 (65 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ 4 (sqrt 2))) (* (cbrt (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 41 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (/ 4 (sqrt 2)) (- (pow 1 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1)))) (cbrt (sqrt (- 1 (* (* v v) 3)))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 42 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) (/ (/ 4 (sqrt 2)) (- (* 1 1) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (cbrt (sqrt (- 1 (* (* v v) 3))))) (/ (cbrt (sqrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 43 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 44 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 45 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (fabs (cbrt (- 1 (* (* v 3) v))))) (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (fabs (cbrt (- 1 (* (* v 3) v))))) (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (fabs (cbrt (- 1 (* (* v 3) v))))) (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 46 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 47 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 48 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (fabs (cbrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (fabs (cbrt (- 1 (* (* v v) 3)))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 49 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 50 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 51 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ 1 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* (* v v) 3)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (fabs (cbrt (- 1 (* (* v v) 3)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (fabs (cbrt (- 1 (* (* v v) 3)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 52 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ 1 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (fabs (cbrt (- 1 (* (* v v) 3)))) (sqrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 53 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (fabs (cbrt (- 1 (* (* v v) 3)))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 54 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 55 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (sqrt (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 56 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ 4 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) 4) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (sqrt (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) 4) (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 57 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (fabs (cbrt (- 1 (* (* v v) 3)))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (cbrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 58 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt 2))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt 2))) (* (sqrt (cbrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 59 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (/ 4 (sqrt 2)) (- (pow 1 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 60 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) (/ (/ 4 (sqrt 2)) (- (* 1 1) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (/ (sqrt (cbrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 61 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 62 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 63 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 64 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 65 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 66 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v v) (* v v)))) (/ (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (/ (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 67 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 68 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 69 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 70 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 71 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 72 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (cbrt (- 1 (* (* v v) (* v v)))))) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (cbrt (- 1 (* (* v v) (* v v)))))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 73 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 74 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) 4) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) 4) (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 75 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v 3) v)))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v 3) v)))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 76 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt 2))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt 2))) (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 77 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- (pow 1 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 78 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- (* 1 1) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 79 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 1) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (- 1 (* 3 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [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 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 80 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 1) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* 3 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [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 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 81 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (* (cbrt (/ 4 (sqrt 2))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (* (cbrt (/ 4 (sqrt 2))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt 1)))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 82 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (sqrt 1) (cbrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 83 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 1) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 84 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 1) (sqrt (/ 4 (sqrt 2)))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 1) (sqrt (/ 4 (sqrt 2)))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 85 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt 1) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt 1) (sqrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 86 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 1) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (sqrt (/ 4 (sqrt 2)))) (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 87 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (* (sqrt 1) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (- 1 (* (* v v) (* v v)))) (* (sqrt 1) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (- 1 (* (* v v) (* v v)))) (* (sqrt 1) (cbrt (- 1 (* (* v v) (* v v)))))) (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4))) (+ 1 (* v v)))) * * * * [misc]progress: [ 88 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (sqrt 1) (sqrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt 1) (sqrt (- 1 (* (* v v) (* v v))))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4))) (+ 1 (* v v)))) * * * * [misc]progress: [ 89 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt 1) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt 1) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 90 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 1) 4) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (- 1 (* (* v v) (* v v)))) (* (/ (sqrt 1) 4) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (* (cbrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 91 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt 1) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt 1) 4)) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (* (sqrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 92 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 1) 4) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* (* v v) (* v v)) (sqrt 2))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) 4) (* (- (sqrt 2) (* (* (* v v) (* v v)) (sqrt 2))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 93 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt 1) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt 1) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 94 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 1) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 1 (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ 1 (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 1) (/ 4 (sqrt 2))) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 95 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (/ 4 (sqrt 2)) (- (pow 1 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (* (- 1 (pow (pow v 3) (+ 1 3))) (/ (sqrt 1) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (- 1 (pow (pow v 3) (+ 1 3))) (/ (sqrt 1) (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* v 3)))) (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (- 1 (pow (pow v 3) (+ 1 3))) (/ (sqrt 1) (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* v (* v 3)))) (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 96 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (/ 4 (sqrt 2)) (- (* 1 1) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (* (- 1 (pow (* v v) (+ 1 3))) (/ (sqrt 1) (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (- 1 (pow (* v v) (+ 1 3))) (/ (sqrt 1) (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* 3 (* v v)))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (+ 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (+ 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (- 1 (pow (* v v) (+ 1 3))) (/ (sqrt 1) (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* (* v v) 3))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 97 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 98 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 99 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 100 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 101 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 102 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v v) (* v v)))) (/ (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (/ (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 103 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 104 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (sqrt (/ 4 (sqrt 2)))) (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 105 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 106 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* (* v v) 3))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 107 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 108 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (cbrt (- 1 (* (* v v) (* v v)))))) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (cbrt (- 1 (* (* v v) (* v v)))))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 109 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 110 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) 4) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) 4) (* (- (sqrt 2) (* (* (sqrt 2) (* v v)) (* v v))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 111 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v 3) v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v 3) v)))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (sqrt (- 1 (* (* v 3) v)))) (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 112 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ 4 (sqrt 2))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 1 (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ 4 (sqrt 2))) (* (sqrt (sqrt (- 1 (* (* v v) 3)))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 113 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- (pow 1 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (pow v 3) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ (+ 1 (pow (* v v) (+ 3 1))) (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 114 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- (* 1 1) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (* 3 (* v v))))) (+ 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 3 1))))) (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 115 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (- 1 (* 3 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [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 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 116 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* 3 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * * [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 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 117 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2)))) (/ (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (/ 4 (sqrt 2))))) (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 118 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* v v) (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* v v) (* v v)))) (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2))))) (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (cbrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 119 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (/ 4 (sqrt 2)))) (/ 1 (cbrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ 1 (cbrt (/ 4 (sqrt 2)))) (/ 1 (cbrt (/ 4 (sqrt 2))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) (* (/ (- 1 (* (* v v) (* v v))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 120 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) (* (cbrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 121 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (/ 4 (sqrt 2)))) (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* (* v v) 3))) (sqrt (/ 4 (sqrt 2)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 122 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (/ 4 (sqrt 2))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 4 (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (/ 4 (sqrt 2)))) (* (/ (- 1 (* (* v v) (* v v))) (sqrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 123 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))) (* (* (sqrt 2) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4))) (+ 1 (* v v)))) * * * * [misc]progress: [ 124 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (- 1 (* (* v v) (* v v)))) (* (* (sqrt 2) (sqrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* (* v v) 3))) 4))) (+ 1 (* v v)))) * * * * [misc]progress: [ 125 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 126 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (* v v) (* v v)))) 4) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) 4) (cbrt (- 1 (* (* v v) (* v v))))) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (/ (cbrt (- 1 (* (* v v) (* v v)))) 4) (cbrt (- 1 (* (* v v) (* v v))))) (* (cbrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 127 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) (* v v)))) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* v v) (* v v)))) 4) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (- 1 (* (* v v) (* v v)))) 4) (* (sqrt (- 1 (* (* v v) (* v v)))) (* (sqrt 2) (sqrt (- 1 (* (* v v) 3)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 128 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 4) (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (* (- (sqrt 2) (* (* (* v v) (* v v)) (sqrt 2))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 4) (* (- (sqrt 2) (* (* (* v v) (* v v)) (sqrt 2))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 129 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 130 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt 2) 4) (/ (sqrt (- 1 (* 3 (* v v)))) (/ 1 (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (/ 1 (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt 2) 4) (* (- 1 (* (* v v) (* v v))) (sqrt (- 1 (* (* v v) 3))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 131 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (/ 4 (sqrt 2)) (- (pow 1 3) (pow (* (* v v) (* v v)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (- 1 (pow (pow v 3) (+ 3 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- 1 (pow (pow v 3) (+ 3 1)))) (/ (sqrt (- 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v))))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* v (* v 3)))) (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (/ (sqrt 2) 4) (- 1 (pow (pow v 3) (+ 3 1)))) (/ (sqrt (- 1 (* v (* v 3)))) (+ 1 (+ (* (* v v) (* v v)) (pow (* v v) (+ 3 1)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 132 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (/ 4 (sqrt 2)) (- (* 1 1) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (/ (- 1 (pow (* v v) (+ 3 1))) (/ 4 (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (- 1 (pow (* v v) (+ 3 1))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* 3 (* v v)))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* 3 (* v v)))) (+ 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (+ 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (- 1 (pow (* v v) (+ 3 1))) (/ 4 (sqrt 2))) (/ (sqrt (- 1 (* (* v v) 3))) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 133 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (* (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) (cbrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 137 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 138 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (cbrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 139 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (cbrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 140 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (* (cbrt (/ 4 (sqrt 2))) (cbrt (/ 4 (sqrt 2)))) 1)) (/ (cbrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 141 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (sqrt (/ 4 (sqrt 2))) (cbrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 142 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (/ (sqrt (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 143 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt (/ 4 (sqrt 2))) 1)) (/ (sqrt (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 144 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ 1 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (/ 4 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 145 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ 1 (sqrt (- 1 (* (* v v) (* v v)))))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 146 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ 1 1)) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 147 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (cbrt (- 1 (* (* v v) (* v v)))) (cbrt (- 1 (* (* v v) (* v v))))))) (/ (/ 1 (sqrt 2)) (cbrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 148 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt (- 1 (* (* v v) (* v v)))))) (/ (/ 1 (sqrt 2)) (sqrt (- 1 (* (* v v) (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 149 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 1)) (/ (/ 1 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 150 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) 1) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 151 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2))) (/ 1 (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 152 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* (* v v) (* v v)) (* (* v v) (* v v))) (* 1 (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (+ (pow (* v v) (+ 1 3)) (+ 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- (pow 1 3) (pow (* (* v v) (* v v)) 3)))) (+ (pow (* v v) (+ 1 3)) (+ 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 153 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* (* v v) (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) 1) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- (* 1 1) (* (* (* v v) (* v v)) (* (* v v) (* v v)))))) (+ (* (* v v) (* v v)) 1)) (+ 1 (* v v)))) * * * * [misc]progress: [ 154 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v 3) v)))) (cbrt (sqrt (- 1 (* (* v 3) v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (sqrt (- 1 (* (* v 3) v)))) (cbrt (sqrt (- 1 (* (* v 3) v))))) (/ (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 155 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (fabs (cbrt (- 1 (* (* v v) 3)))) (/ (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (- 1 (* 3 (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 156 / 199 ] 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 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 157 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt 1) (/ (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 158 / 199 ] 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 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (* v v) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (sqrt (- 1 (* (* v v) 3)))) (/ (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 1 (* 3 (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 159 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (* v v) (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (- 1 (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (sqrt 2))) (- 1 (* (* v v) (* v v)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 161 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (* v (* v 3)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 162 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* 3 (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 163 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 164 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 168 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 169 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 170 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 172 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 2 2) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow v (+ 2 2))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 173 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (* v v) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* v v) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 1 1))))) (+ 1 (* v v)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 1 1))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 174 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (* v v) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* v v) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 2)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 175 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* v v) (* v v)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (* v v) (* v v)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* (* v v) (* v v)) 1)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 176 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 177 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (* v v) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* v v) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) (+ 1 1))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 178 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 179 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* v v)) (log (* v v))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (+ (log (* v v)) (log (* v v))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (exp (+ (log (* v v)) (log (* v v))))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 180 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 181 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* v v) (* v v)) (* v v)) (* (* (* v v) (* v v)) (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (pow (pow v 3) (+ 3 1)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (cbrt (pow (pow v 3) (+ 3 1)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 183 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 184 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 185 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 186 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 187 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 188 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 189 / 199 ] simplifiying candidate # * * * * [misc]progress: [ 190 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ (+ (* v v) 1) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2) to (λ (v) (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ (+ (* v v) 1) (/ (sqrt 2) 4)) (- 1 (* (* v v) (* v v)))))) * * * * [misc]progress: [ 191 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/4 (sqrt 2)) (+ (* 17/32 (* (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 (142 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (* (- (- 1/4 (* (pow v 4) 17/32)) (* (* v 3/8) v)) (sqrt 2)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (- (- 1/4 (* (pow v 4) 17/32)) (* (* v 3/8) v)) (sqrt 2)) (+ 1 (* v v)))) * * * * [misc]progress: [ 192 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (* (sqrt 2) v) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (* (sqrt 2) (pow v 3)) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 5) (sqrt -3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sqrt -3) 1/4) (sqrt 2)) (- v (pow v 5))) (* (/ (sqrt 2) (sqrt -3)) (- (* (/ v -3) 1/32) (* (* v v) (* v 1/8))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (* (* (sqrt -3) 1/4) (sqrt 2)) (- v (pow v 5))) (* (/ (sqrt 2) (sqrt -3)) (- (* (/ v -3) 1/32) (* (* v v) (* v 1/8))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 193 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) (pow v 3)) (sqrt -3))) (* 1/4 (* (sqrt 2) (* (pow v 5) (sqrt -3))))) (+ (* 1/4 (* (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (* (sqrt 2) v) (pow (sqrt -3) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (- (* (* (* 1/4 (sqrt 2)) (sqrt -3)) (- (pow v 5) v)) (- (* (/ 1/32 (sqrt -3)) (/ (sqrt 2) (/ -3 v))) (* (/ (sqrt 2) (sqrt -3)) (* (* 1/8 v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (* (* (* 1/4 (sqrt 2)) (sqrt -3)) (- (pow v 5) v)) (- (* (/ 1/32 (sqrt -3)) (/ (sqrt 2) (/ -3 v))) (* (/ (sqrt 2) (sqrt -3)) (* (* 1/8 v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 194 / 199 ] 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 1 2) to (λ (v) (/ (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 195 / 199 ] 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 1 2) to (λ (v) (/ (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 196 / 199 ] 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 1 2) to (λ (v) (/ (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 197 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (pow v 4) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow v 4) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow v 4)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 198 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (pow v 4) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow v 4) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow v 4)))) (+ 1 (* v v)))) * * * * [misc]progress: [ 199 / 199 ] simplifiying candidate # * [enter]simplify: Simplifying (pow v 4) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow v 4) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (v) (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow v 4)))) (+ 1 (* v v)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) (+ (* v v) 1)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4067 additional inputs, on iter 1 have 3933 / 8000 * * * * [misc]points: Computing exacts on every 254 of 4067 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 127 of 4067 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 63 of 4067 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 4067 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 4067 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 4067 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 4067 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4067 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2037 additional inputs, on iter 2 have 5963 / 8000 * * * * [misc]points: Computing exacts on every 127 of 2037 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 63 of 2037 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 2037 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 2037 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 2037 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 2037 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2037 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 982 additional inputs, on iter 3 have 7018 / 8000 * * * * [misc]points: Computing exacts on every 61 of 982 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 982 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 982 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 982 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 982 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 982 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 472 additional inputs, on iter 4 have 7528 / 8000 * * * * [misc]points: Computing exacts on every 29 of 472 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 14 of 472 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 472 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 472 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 472 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 240 additional inputs, on iter 5 have 7760 / 8000 * * * * [misc]points: Computing exacts on every 15 of 240 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 240 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 240 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 240 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 125 additional inputs, on iter 6 have 7875 / 8000 * * * * [misc]points: Computing exacts on every 7 of 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 125 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 55 additional inputs, on iter 7 have 7945 / 8000 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 55 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 19 additional inputs, on iter 8 have 7981 / 8000 * * * * [misc]points: Computing exacts for 19 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 9 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 10 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs