* [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 125 additional inputs, on iter 1 have 131 / 256 * * * * [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 65 additional inputs, on iter 2 have 191 / 256 * * * * [misc]points: Computing exacts on every 4 of 65 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 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 65 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 34 additional inputs, on iter 3 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 34 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 17 additional inputs, on iter 4 have 239 / 256 * * * * [misc]points: Computing exacts for 17 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 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 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 5 additional inputs, on iter 6 have 251 / 256 * * * * [misc]points: Computing exacts for 5 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 253 / 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 8 have 255 / 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 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (283 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [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 (* 6 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v))) (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3)))) (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4/3 (* PI (sqrt 2))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (pow v 2)) (/ 4/3 (* PI (sqrt 2))))) into (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (log (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 12 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 15 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 20 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 21 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 22 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 23 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 24 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 25 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 26 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (pow (- 1 (* v v)) (- 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (pow (- 1 (* v v)) (- 1/2)) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 27 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 28 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 29 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 30 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) 3) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4 (/ (/ (/ 1 PI) 3) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 31 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 35 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 36 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) 1) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 37 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 38 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 39 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 218 ] 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 (151 enodes) * [exit]simplify: Simplified to (+ (+ (* (* v v) (* v v)) 1) (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* (* v v) (* v v)) 1) (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 42 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 43 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (cbrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (- 2 (* v (* v 6)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 51 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 52 / 218 ] 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) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt 1) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 53 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 54 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))) (sqrt (+ 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 55 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (fabs (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 57 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 60 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 61 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (398 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (- 2 (* 6 (* v v))) (* 1/2 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (- 2 (* 6 (* v v))) (* 1/2 3))))) * * * * [misc]progress: [ 64 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (366 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (- 2 (* (* 6 v) v)) (+ 1 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (pow (- 2 (* (* 6 v) v)) (+ 1 1/2))))) * * * * [misc]progress: [ 65 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (- 2 (* (* 6 v) v)))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (- 2 (* (* 6 v) v)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 70 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (- 2 (* 6 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (319 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (- 2 (* 6 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 71 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 72 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) 1) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) 1) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) 1) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 73 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 74 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 75 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* (* v 6) v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* (* v 6) v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 76 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (337 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* (* v 6) v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* (* v 6) v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 77 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 78 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 79 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 80 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 81 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (387 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 82 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (383 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* (* v 6) v)))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* (* v 6) v)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 83 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (371 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 84 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 85 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (371 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 86 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 87 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 88 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (365 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 89 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 90 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 91 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 92 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 93 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (cbrt (/ (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (- 2 (* (* v 6) v)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (319 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (cbrt (/ (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (- 2 (* (* v 6) v)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/3))))) * * * * [misc]progress: [ 94 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (cbrt (/ (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (- 2 (* (* v v) 6)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (319 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (cbrt (/ (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (- 2 (* (* v v) 6)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/3 1/2))))) * * * * [misc]progress: [ 95 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 96 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 97 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 98 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 99 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 100 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (365 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* (* v 6) v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* (* v 6) v)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 101 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 102 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 103 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (335 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 104 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 105 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (337 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 106 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (337 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (- 2 (* 6 (* v v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 107 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 108 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 109 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 110 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 111 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 2 (* (* v v) 6)))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 2 (* (* v v) 6)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/3))))) * * * * [misc]progress: [ 112 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 2 (* (* v v) 6)))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 2 (* (* v v) 6)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/3 1/2))))) * * * * [misc]progress: [ 113 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 114 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 115 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 116 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 117 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (320 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 118 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (320 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 119 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 120 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 121 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 122 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (/ 1 (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 123 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 (* v v)) (- 1/2)) (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (- 1 (* v v)) (- 1/2)) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (- 1 (* v v)) (- 1/2)) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/2 1/3))))) * * * * [misc]progress: [ 124 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (/ (pow (- 2 (* 6 (* v v))) (- 1/3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (- 2 (* 6 (* v v))) (- 1/3)) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (pow (- 2 (* 6 (* v v))) (- 1/3)) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* (* v 6) v)) (* 1/3 1/2))))) * * * * [misc]progress: [ 125 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 (* v v)) (- 1/2)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (- 1 (* v v)) (- 1/2)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 126 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (pow (- 1 (* v v)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (- 1 (* v v)) (- 1/2)) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (- 1 (* v v)) (- 1/2)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 127 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 (* v v)) (- 1/2)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (pow (- 1 (* v v)) (- 1/2)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 128 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (pow (- 1 (* v v)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (- 1 (* v v)) (- 1/2)) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (- 1 (* v v)) (- 1/2)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 129 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (cbrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (cbrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3))))) * * * * [misc]progress: [ 130 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (pow (- 2 (* 6 (* v v))) (- 1/3)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (- 2 (* 6 (* v v))) (- 1/3)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (- 2 (* 6 (* v v))) (- 1/3)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2))))) * * * * [misc]progress: [ 131 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))))) * * * * [misc]progress: [ 132 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 133 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))))) * * * * [misc]progress: [ 134 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 135 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 136 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 137 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) 3) (cbrt (- 1 (* v v)))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ (/ 1 PI) 3) (cbrt (- 1 (* v v)))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 138 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 139 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) 3) (cbrt (- 1 (* v v)))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ (/ 1 PI) 3) (cbrt (- 1 (* v v)))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 140 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 141 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 142 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 143 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 144 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 145 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 146 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 147 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ 4 (cbrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (cbrt (- 2 (* (* v 6) v)))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (cbrt (- 2 (* (* v 6) v)))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 148 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (/ 4 (cbrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (cbrt (- 2 (* (* v 6) v)))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (cbrt (- 2 (* (* v 6) v)))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 149 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (/ 4 (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 150 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 151 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (/ 4 (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 1) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* 6 v) v)) (* 1/2 1/2))))) * * * * [misc]progress: [ 152 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (280 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 153 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (cbrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3))))) * * * * [misc]progress: [ 154 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (pow (- 2 (* 6 (* v v))) (- 1/3)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (- 2 (* 6 (* v v))) (- 1/3)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (pow (- 2 (* 6 (* v v))) (- 1/3)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2))))) * * * * [misc]progress: [ 155 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))))) * * * * [misc]progress: [ 156 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 157 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (pow (sqrt (- 2 (* 6 (* v v)))) (- 1/2)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))))) * * * * [misc]progress: [ 158 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (295 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 159 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (cbrt (- 2 (* (* v 6) v)))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (cbrt (- 2 (* (* v 6) v)))) (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3))))) * * * * [misc]progress: [ 160 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (cbrt (- 2 (* (* v v) 6)))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* v (* 6 v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (cbrt (- 2 (* (* v v) 6)))) (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* v (* 6 v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 161 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (pow (- 2 (* v (* v 6))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (pow (- 2 (* v (* v 6))) (* 1/2 1/2))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 162 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 163 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (pow (- 2 (* v (* v 6))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (pow (- 2 (* v (* v 6))) (* 1/2 1/2))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (pow (- 2 (* v (* 6 v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 164 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 165 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (- 2 (* 6 (* v v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (- 2 (* 6 (* v v))))) (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (pow (- 2 (* 6 (* v v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 166 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (347 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (- 2 (* 6 (* v v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (- 2 (* 6 (* v v))))) (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (pow (- 2 (* 6 (* v v))) (* 1/3 1/2))))) * * * * [misc]progress: [ 167 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (334 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (+ (* v v) (+ (* (* v v) (* v v)) 1)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ (* v v) (+ (* (* v v) (* v v)) 1)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 168 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow v (+ 3 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (pow v (+ 3 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (pow v (+ 3 3)))) (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 169 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (334 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (+ (* v v) (+ (* (* v v) (* v v)) 1)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ (* v v) (+ (* (* v v) (* v v)) 1)) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))))) * * * * [misc]progress: [ 170 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 171 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (- 2 (* (* v v) 6)))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (pow (- 2 (* v (* 6 v))) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (- 2 (* (* v v) 6)))) (/ (+ 1 (* v v)) (pow (- 2 (* v (* 6 v))) (* 1/2 1/3))))) * * * * [misc]progress: [ 172 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (- 2 (* v (* 6 v))))) (/ (+ 1 (* v v)) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2))))) * * * * [misc]progress: [ 173 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (344 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))))) * * * * [misc]progress: [ 174 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 175 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (344 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (pow (- 2 (* 6 (* v v))) (* 1/2 1/2))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (pow (- 2 (* (* v v) 6)) (* 1/2 1/2))))) * * * * [misc]progress: [ 176 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 177 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 178 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 179 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 180 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (pow (- 2 (* (* v v) 6)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3)))) * * * * [misc]progress: [ 181 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (pow (- 2 (* (* v v) 6)) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2)))) * * * * [misc]progress: [ 182 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (pow (- 2 (* v (* v 6))) (* 1/2 1/2)))) * * * * [misc]progress: [ 183 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 184 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (pow (- 2 (* v (* v 6))) (* 1/2 1/2)))) * * * * [misc]progress: [ 185 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 186 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (/ (sqrt (- 2 (* 6 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 187 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* 6 (* v v)))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 188 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 189 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 190 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 191 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 192 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 193 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4 (* 3 PI))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 194 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (pow (- 1 (* v v)) (- 1/3)) (pow (- 1 (* v v)) (- 1/3))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 195 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (pow (- 1 (* v v)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (pow (- 1 (* v v)) (- 1/2)) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 196 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 197 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 198 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 199 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 4 (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 200 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 201 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (/ (sqrt (- 2 (* 6 (* v v)))) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 202 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (- 2 (* 6 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 203 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (* 6 (* v v)))) (+ 1 (* v v))))) * * * * [misc]progress: [ 204 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* 2 6) (* v v)) (* 2 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* 2 6) (* v v)) (* 2 2)))))) * * * * [misc]progress: [ 205 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (sqrt (+ (* v (* v 6)) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) (sqrt (+ (* v (* v 6)) 2)))) * * * * [misc]progress: [ 206 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (* (sqrt (- 2 (* 6 (* v v)))) (- 1 (* v v))))) * * * * [misc]progress: [ 207 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* 6 v) v) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 208 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* 6 v) v) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 209 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* 6 v) v) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 210 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (+ (* (pow v 4) (/ 4/3 PI)) (* (* v v) (/ 4/3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (+ (* (pow v 4) (/ 4/3 PI)) (* (* v v) (/ 4/3 PI)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 211 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (403 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 4/3 PI) (pow v 4)) (/ (/ 4/3 PI) (pow v 6))) (/ (/ 4/3 PI) (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (+ (/ (/ 4/3 PI) (pow v 4)) (/ (/ 4/3 PI) (pow v 6))) (/ (/ 4/3 PI) (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 212 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (403 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 4/3 PI) (pow v 4)) (/ (/ 4/3 PI) (pow v 6))) (/ (/ 4/3 PI) (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (+ (/ (/ 4/3 PI) (pow v 4)) (/ (/ 4/3 PI) (pow v 6))) (/ (/ 4/3 PI) (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 213 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (- (sqrt 2) (/ (* 9/2 (pow v 4)) (* (sqrt 2) 2))) (* (/ (* v v) (sqrt 2)) 3)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (- (sqrt 2) (/ (* 9/2 (pow v 4)) (* (sqrt 2) 2))) (* (/ (* v v) (sqrt 2)) 3)))) * * * * [misc]progress: [ 214 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v))) (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (+ (* v (sqrt -6)) (/ 1 (* v (sqrt -6)))) (/ (/ 1/2 (pow v 3)) (* (sqrt -6) -6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (+ (* v (sqrt -6)) (/ 1 (* v (sqrt -6)))) (/ (/ 1/2 (pow v 3)) (* (sqrt -6) -6))))) * * * * [misc]progress: [ 215 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3)))) (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 1/2 (pow v 3)) (* -6 (sqrt -6))) (* (sqrt -6) v)) (/ 1 (* (sqrt -6) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (- (/ (/ 1/2 (pow v 3)) (* -6 (sqrt -6))) (* (sqrt -6) v)) (/ 1 (* (sqrt -6) v))))) * * * * [misc]progress: [ 216 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ (* 4/3 (* v v)) (* (sqrt 2) PI)) (/ 4/3 (* (sqrt 2) PI))) (+ (+ (/ (* 4 (* v v)) (* (* 2 (sqrt 2)) PI)) (* (/ (/ (pow v 4) PI) (* 2 (sqrt 2))) 4)) (+ (/ (* 4/3 (pow v 4)) (* (sqrt 2) PI)) (* 18 (/ (/ (pow v 4) PI) (pow (sqrt 2) 5)))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (/ (* 4/3 (* v v)) (* (sqrt 2) PI)) (/ 4/3 (* (sqrt 2) PI))) (+ (+ (/ (* 4 (* v v)) (* (* 2 (sqrt 2)) PI)) (* (/ (/ (pow v 4) PI) (* 2 (sqrt 2))) 4)) (+ (/ (* 4/3 (pow v 4)) (* (sqrt 2) PI)) (* 18 (/ (/ (pow v 4) PI) (pow (sqrt 2) 5))))))) * * * * [misc]progress: [ 217 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * [exit]simplify: Simplified to (- (+ (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6)))) (/ 4/3 (* (* -6 (sqrt -6)) (* (pow v 7) PI)))) (+ (+ (/ 4/3 (* (* PI (pow v 5)) (sqrt -6))) (/ 4/3 (* (sqrt -6) (* (pow v 7) PI)))) (+ (/ 4/3 (* (* PI (pow v 3)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6)))) (/ 4/3 (* (* -6 (sqrt -6)) (* (pow v 7) PI)))) (+ (+ (/ 4/3 (* (* PI (pow v 5)) (sqrt -6))) (/ 4/3 (* (sqrt -6) (* (pow v 7) PI)))) (+ (/ 4/3 (* (* PI (pow v 3)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))))))) * * * * [misc]progress: [ 218 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * [misc]simplify: iters left: 6 (41 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 4/3 (* (* (sqrt -6) PI) (pow v 3))) (/ 4/3 (* (* (sqrt -6) PI) (pow v 5)))) (+ (/ 4/3 (* (* PI (pow v 7)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))) (+ (/ 4/3 (* (* -6 (sqrt -6)) (* PI (pow v 7)))) (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (+ (/ 4/3 (* (* (sqrt -6) PI) (pow v 3))) (/ 4/3 (* (* (sqrt -6) PI) (pow v 5)))) (+ (/ 4/3 (* (* PI (pow v 7)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))) (+ (/ 4/3 (* (* -6 (sqrt -6)) (* PI (pow v 7)))) (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 3 PI) 1) into (* 3 PI) * [misc]backup-simplify: Simplify (* (* 3 PI) (sqrt 2)) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4 (* 3 (* PI (sqrt 2)))) into (/ 4/3 (* PI (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 3 PI) 1) into (* 3 PI) * [misc]backup-simplify: Simplify (* (* 3 PI) (sqrt 2)) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4 (* 3 (* PI (sqrt 2)))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4/3 (* PI (sqrt 2))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (* 3 (* PI (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) -1) (+ (* 0 0) (* 0 1))) into (- (* 3 PI)) * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -3 (sqrt 2))) (+ (* 0 0) (* (- (* 3 PI)) (sqrt 2)))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (* 3 (* PI (sqrt 2))))) (* 0 (/ 0 (* 3 (* PI (sqrt 2))))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 (/ -3 (sqrt 2))) (+ (* (- (* 3 PI)) 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (* 3 (* PI (sqrt 2))))) (* 0 (/ (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (* 3 (* PI (sqrt 2))))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ 0 (* 3 (* PI (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -9/2 (pow (sqrt 2) 3))) (+ (* 0 0) (+ (* (- (* 3 PI)) (/ -3 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) (* 3 (* PI (sqrt 2))))) (* 0 (/ 0 (* 3 (* PI (sqrt 2))))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (* 3 (* PI (sqrt 2))))) (* 0 (/ 0 (* 3 (* PI (sqrt 2))))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (pow v 2)) (/ 4/3 (* PI (sqrt 2))))) into (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * [misc]approximate: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))) (* 0 (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * [misc]approximate: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))) (* 0 (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* 6 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 3 PI) 1) into (* 3 PI) * [misc]backup-simplify: Simplify (* (* 3 PI) (sqrt 2)) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (* 3 (* PI (sqrt 2))) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) -1) (+ (* 0 0) (* 0 1))) into (- (* 3 PI)) * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -3 (sqrt 2))) (+ (* 0 0) (* (- (* 3 PI)) (sqrt 2)))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 (/ -3 (sqrt 2))) (+ (* (- (* 3 PI)) 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -9/2 (pow (sqrt 2) 3))) (+ (* 0 0) (+ (* (- (* 3 PI)) (/ -3 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) (pow v 4)) (+ (* (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (pow v 2)) (* 3 (* PI (sqrt 2))))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ (* PI (pow v 4)) (sqrt 2)))) (+ (* 3 (* PI (* (sqrt 2) (pow v 2)))) (+ (* 9 (/ (* PI (pow v 2)) (sqrt 2))) (* 27/2 (/ (* PI (pow v 4)) (pow (sqrt 2) 3)))))) * [misc]approximate: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 v)) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 v))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v))))) (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3)))))) * [misc]approximate: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 (- v))) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 (- v)))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v))) (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3)))) (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ 4 (* (* 3 PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (337 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ (+ (* 2 2) (* (* v 6) (* v 2))) (* (* 6 (* v v)) (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ (+ (* 2 2) (* (* v 6) (* v 2))) (* (* 6 (* v v)) (* 6 (* v v)))))))) * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 2 (* 6 (* v v)))) (+ (+ (* (* v v) (* v v)) 1) (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (* (sqrt (+ 2 (* 6 (* v v)))) (+ (+ (* (* v v) (* v v)) 1) (* v v))))) * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* 6 v) (* v 2)) (* 2 2)))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (* (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* 6 v) (* v 2)) (* 2 2)))) (+ 1 (* v v))))) * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 2 (* (* v v) 6))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (* (sqrt (+ 2 (* (* v v) 6))) (+ 1 (* v v))))) * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* 2 6) (* v v)) (* 2 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* 2 6) (* v v)) (* 2 2)))))) * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (sqrt (+ (* v (* v 6)) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (sqrt (+ (* v (* v 6)) 2)))) * * * * [misc]progress: [ 18 / 83 ] 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 (151 enodes) * [exit]simplify: Simplified to (+ (+ (* (* v v) (* v v)) 1) (* v v)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 2 (* 6 (* v v)))))) (+ (+ (* (* v v) (* v v)) 1) (* v v)))) * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (+ 1 (* v v)))) * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* 6 (* v v)))) (* (* PI 3) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (pow (* (sqrt (- 2 (* 6 (* v v)))) (* (* PI 3) (- 1 (* v v)))) 1))) * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* 6 (* v v)))) (* (* PI 3) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (pow (* (sqrt (- 2 (* 6 (* v v)))) (* (* PI 3) (- 1 (* v v)))) 1))) * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* 3 PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (log (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) (* PI 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (exp (log (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) (* PI 3))))))) * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* 3 PI) (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (log (* (sqrt (- 2 (* 6 (* v v)))) (* (* PI 3) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (exp (log (* (sqrt (- 2 (* 6 (* v v)))) (* (* PI 3) (- 1 (* v v)))))))) * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* 3 PI) (* 3 PI)) (* 3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (* (pow (- 2 (* 6 (* v v))) (* 1/2 3)) (pow (* (* PI 3) (- 1 (* v v))) 3)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (cbrt (* (pow (- 2 (* 6 (* v v))) (* 1/2 3)) (pow (* (* PI 3) (- 1 (* v v))) 3))))) * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v)))) (* (* 3 PI) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (* (pow (* (* PI 3) (- 1 (* v v))) 3) (pow (- 2 (* v (* 6 v))) (+ 1/2 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (cbrt (* (pow (* (* PI 3) (- 1 (* v v))) 3) (pow (- 2 (* v (* 6 v))) (+ 1/2 1)))))) * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow v (+ 3 3))) (* PI 3)) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* (- 1 (pow v (+ 3 3))) (* PI 3)) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (337 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ (+ (* 2 2) (* (* v 6) (* v 2))) (* (* 6 (* v v)) (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (- 1 (pow v (+ 3 3))) (* PI 3)) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) (* (+ (+ (* v v) (* (* v v) (* v v))) 1) (sqrt (+ (+ (* 2 2) (* (* v 6) (* v 2))) (* (* 6 (* v v)) (* 6 (* v v))))))))) * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (pow v 3) (pow v 3))) (* PI 3)) (sqrt (* (- 2 (* v (* 6 v))) (+ 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* (- 1 (* (pow v 3) (pow v 3))) (* PI 3)) (sqrt (* (- 2 (* v (* 6 v))) (+ 2 (* v (* 6 v)))))) (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 2 (* 6 (* v v)))) (+ (+ (* (* v v) (* v v)) 1) (* v v))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) (* (sqrt (+ 2 (* 6 (* v v)))) (+ (+ (* (* v v) (* v v)) 1) (* v v)))))) * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* PI 3)) (sqrt (- (pow 2 3) (pow (* v (* 6 v)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* (- 1 (* (* v v) (* v v))) (* PI 3)) (sqrt (- (pow 2 3) (pow (* v (* 6 v)) 3)))) (* (+ 1 (* v v)) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (259 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* 6 v) (* v 2)) (* 2 2)))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (- 1 (* (* v v) (* v v))) (* PI 3)) (sqrt (- (pow 2 3) (pow (* v (* 6 v)) 3)))) (* (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* 6 v) (* v 2)) (* 2 2)))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (316 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (* PI 3)) (sqrt (- (* 2 2) (* (* (* v v) 6) (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (* (- 1 (* (* v v) (* v v))) (* PI 3)) (sqrt (- (* 2 2) (* (* (* v v) 6) (* (* v v) 6))))) (* (+ 1 (* v v)) (sqrt (+ 2 (* 6 (* v v)))))))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 2 (* (* v v) 6))) (+ 1 (* v v))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (- 1 (* (* v v) (* v v))) (* PI 3)) (sqrt (- (* 2 2) (* (* (* v v) 6) (* (* v v) 6))))) (* (sqrt (+ 2 (* (* v v) 6))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (pow (- 2 (* (* v v) 6)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (pow (- 2 (* (* v v) 6)) (* 1/2 1/3))))) * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (pow (- 2 (* (* v v) 6)) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) (pow (- 2 (* (* v v) 6)) (* 1/3 1/2))))) * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (pow (- 2 (* v (* v 6))) (* 1/2 1/2))))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (pow (- 2 (* v (* v 6))) (* 1/2 1/2))))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* (* 3 PI) (- 1 (* v v))) 1) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* PI 3) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (* (* PI 3) (* (- 1 (* v v)) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* 2 6) (* v v)) (* 2 2)))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* 2 6) (* v v)) (* 2 2))))))) * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (sqrt (+ (* v (* v 6)) 2)) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) (sqrt (+ (* v (* v 6)) 2))))) * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* PI 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (* PI 3))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (279 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* PI 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ 4 (/ (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* (* v v) (* v v))) (* PI 3))) (+ 1 (* v v))))) * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (cbrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (* (cbrt (- 2 (* v (* v 6)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (* (pow (- 2 (* v (* v 6))) (* 1/2 1/2)) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 66 / 83 ] 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 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (* (sqrt 1) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (/ (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (/ (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))) (sqrt (+ 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (fabs (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ (* 4/3 (* v v)) (* (sqrt 2) PI)) (/ 4/3 (* (sqrt 2) PI))) (+ (+ (/ (* 4 (* v v)) (* (* 2 (sqrt 2)) PI)) (* (/ (/ (pow v 4) PI) (* 2 (sqrt 2))) 4)) (+ (/ (* 4/3 (pow v 4)) (* (sqrt 2) PI)) (* 18 (/ (/ (pow v 4) PI) (pow (sqrt 2) 5)))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (/ (* 4/3 (* v v)) (* (sqrt 2) PI)) (/ 4/3 (* (sqrt 2) PI))) (+ (+ (/ (* 4 (* v v)) (* (* 2 (sqrt 2)) PI)) (* (/ (/ (pow v 4) PI) (* 2 (sqrt 2))) 4)) (+ (/ (* 4/3 (pow v 4)) (* (sqrt 2) PI)) (* 18 (/ (/ (pow v 4) PI) (pow (sqrt 2) 5))))))) * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * [exit]simplify: Simplified to (- (+ (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6)))) (/ 4/3 (* (* -6 (sqrt -6)) (* (pow v 7) PI)))) (+ (+ (/ 4/3 (* (* PI (pow v 5)) (sqrt -6))) (/ 4/3 (* (sqrt -6) (* (pow v 7) PI)))) (+ (/ 4/3 (* (* PI (pow v 3)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6)))) (/ 4/3 (* (* -6 (sqrt -6)) (* (pow v 7) PI)))) (+ (+ (/ 4/3 (* (* PI (pow v 5)) (sqrt -6))) (/ 4/3 (* (sqrt -6) (* (pow v 7) PI)))) (+ (/ 4/3 (* (* PI (pow v 3)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))))))) * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * [misc]simplify: iters left: 6 (41 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 4/3 (* (* (sqrt -6) PI) (pow v 3))) (/ 4/3 (* (* (sqrt -6) PI) (pow v 5)))) (+ (/ 4/3 (* (* PI (pow v 7)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))) (+ (/ 4/3 (* (* -6 (sqrt -6)) (* PI (pow v 7)))) (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (+ (/ 4/3 (* (* (sqrt -6) PI) (pow v 3))) (/ 4/3 (* (* (sqrt -6) PI) (pow v 5)))) (+ (/ 4/3 (* (* PI (pow v 7)) (sqrt -6))) (/ 2 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))) (+ (/ 4/3 (* (* -6 (sqrt -6)) (* PI (pow v 7)))) (/ 4/3 (* (* PI (pow v 5)) (* -6 (sqrt -6))))))) * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* 6 v) v) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* 6 v) v) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (* 6 v) v) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ (* PI (pow v 4)) (sqrt 2)))) (+ (* 3 (* PI (* (sqrt 2) (pow v 2)))) (+ (* 9 (/ (* PI (pow v 2)) (sqrt 2))) (* 27/2 (/ (* PI (pow v 4)) (pow (sqrt 2) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (* (pow v 4) PI) (sqrt 2)) 9) (* (* 3 PI) (sqrt 2))) (+ (+ (* (* 3 PI) (* (sqrt 2) (* v v))) (/ (* 9 (* (* v v) PI)) (sqrt 2))) (* 27/2 (/ (* (pow v 4) PI) (* (sqrt 2) 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ 4 (- (+ (* (/ (* (pow v 4) PI) (sqrt 2)) 9) (* (* 3 PI) (sqrt 2))) (+ (+ (* (* 3 PI) (* (sqrt 2) (* v v))) (/ (* 9 (* (* v v) PI)) (sqrt 2))) (* 27/2 (/ (* (pow v 4) PI) (* (sqrt 2) 2))))))) * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v))))) (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (497 enodes) * [exit]simplify: Simplified to (+ (- (+ (/ (/ (* 3/2 PI) v) (* (sqrt -6) -6)) (* (/ 3 (sqrt -6)) (/ PI v))) (+ (/ 3 (/ (sqrt -6) (* PI v))) (* (* 3 (sqrt -6)) (* (* v v) (* PI v))))) (* 3 (* (sqrt -6) (* PI v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ 4 (+ (- (+ (/ (/ (* 3/2 PI) v) (* (sqrt -6) -6)) (* (/ 3 (sqrt -6)) (/ PI v))) (+ (/ 3 (/ (sqrt -6) (* PI v))) (* (* 3 (sqrt -6)) (* (* v v) (* PI v))))) (* 3 (* (sqrt -6) (* PI v)))))) * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (497 enodes) * [exit]simplify: Simplified to (+ (- (- (* (* (* v v) (* v PI)) (* (sqrt -6) 3)) (* (* v PI) (* (sqrt -6) 3))) (+ (/ (/ (* PI 3/2) v) (* (sqrt -6) -6)) (* (/ 3 v) (/ PI (sqrt -6))))) (* 3 (/ (* v PI) (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ 4 (+ (- (- (* (* (* v v) (* v PI)) (* (sqrt -6) 3)) (* (* v PI) (* (sqrt -6) 3))) (+ (/ (/ (* PI 3/2) v) (* (sqrt -6) -6)) (* (/ 3 v) (/ PI (sqrt -6))))) (* 3 (/ (* v PI) (sqrt -6)))))) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (- (sqrt 2) (/ (* 9/2 (pow v 4)) (* (sqrt 2) 2))) (* (/ (* v v) (sqrt 2)) 3)) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (- (- (sqrt 2) (/ (* 9/2 (pow v 4)) (* (sqrt 2) 2))) (* (/ (* v v) (sqrt 2)) 3))))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v))) (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (+ (* v (sqrt -6)) (/ 1 (* v (sqrt -6)))) (/ (/ 1/2 (pow v 3)) (* (sqrt -6) -6))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (- (+ (* v (sqrt -6)) (/ 1 (* v (sqrt -6)))) (/ (/ 1/2 (pow v 3)) (* (sqrt -6) -6)))))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3)))) (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 1/2 (pow v 3)) (* -6 (sqrt -6))) (* (sqrt -6) v)) (/ 1 (* (sqrt -6) v))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (- (- (/ (/ 1/2 (pow v 3)) (* -6 (sqrt -6))) (* (sqrt -6) v)) (/ 1 (* (sqrt -6) v)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (pow (/ 4/3 PI) 1/3) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 4/3 PI) 1/3)) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 4/3 PI) 1/3)) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow v 4)) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow v 2)) (pow (/ 4/3 PI) 1/3))) into (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))))) into (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI))))))) into (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (pow (/ 4/3 PI) 1/3) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 4/3 PI) 1/3)) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 4/3 PI) 1/3)) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow v 4)) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow v 2)) (pow (/ 4/3 PI) 1/3))) into (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))))) into (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI))))))) into (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (pow (/ 4/3 PI) 1/3) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 4/3 PI) 1/3)) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 4/3 PI) 1/3)) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow v 4)) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow v 2)) (pow (/ 4/3 PI) 1/3))) into (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))))) into (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI))))))) into (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 4/3 PI) 1/3) (pow (/ 4/3 PI) 1/3)) into (pow (/ (pow 4/3 2) (pow PI 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ (pow 4/3 2) (pow PI 2)) 1/3) into (pow (/ 16/9 (pow PI 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) 0) (* 0 (pow (/ 4/3 PI) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) (* 1/3 (pow (/ 4/3 PI) 1/3))) (+ (* 0 0) (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow (/ 4/3 PI) 1/3)))) into (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) into (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) 0) (+ (* 0 (* 1/3 (pow (/ 4/3 PI) 1/3))) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) 0) (* 0 (pow (/ 4/3 PI) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) (* 2/9 (pow (/ 4/3 PI) 1/3))) (+ (* 0 0) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (* 1/3 (pow (/ 4/3 PI) 1/3))) (+ (* 0 0) (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow (/ 4/3 PI) 1/3)))))) into (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) into (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) (pow v 4)) (+ (* (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) (pow v 2)) (pow (/ 16/9 (pow PI 2)) 1/3))) into (+ (* 2/3 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 2))) (+ (* 5/9 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 4))) (pow (/ 16/9 (pow PI 2)) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) into (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (+ (* 0 (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))))) into (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) 2)) (pow (/ 1 v) 4)) (+ (* (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) 2)) (pow (/ 1 v) 2)) (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) 2))) into (+ (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) into (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (+ (* 0 (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))))) into (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 (- v))))))) 2)) (pow (/ 1 (- v)) 4)) (+ (* (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 (- v))))))) 2)) (pow (/ 1 (- v)) 2)) (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 (- v))))))) 2))) into (+ (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 6 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 7 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 8 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 9 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 10 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 11 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 12 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 13 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 14 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 1 (* v v))) (* -1 1/3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (pow (sqrt (- 1 (* v v))) (* -1 1/3)) (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 15 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* 1 (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 16 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 17 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 18 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt 4) (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 19 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* 1 (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 20 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 1 (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 21 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 22 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (cbrt (+ 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 23 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 24 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 33 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 34 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 35 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 36 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 37 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 38 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 39 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 40 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 41 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 1 (* v v))) (* -1 1/3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (pow (sqrt (- 1 (* v v))) (* -1 1/3)) (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 42 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* 1 (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 43 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 44 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 45 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt 4) (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 46 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* 1 (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 47 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 1 (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 48 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 49 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (cbrt (+ 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 50 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 51 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 60 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 61 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 62 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 63 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 64 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 65 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 66 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 67 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 68 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 1 (* v v))) (* -1 1/3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (pow (sqrt (- 1 (* v v))) (* -1 1/3)) (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 69 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* 1 (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 70 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 71 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 72 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt 4) (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 73 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* 1 (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 74 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 1 (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 75 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 76 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (cbrt (+ 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 77 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 78 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 83 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (+ 1 1)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (pow (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 84 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) 1/3) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 85 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 86 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (+ 1 1)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 88 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (log (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (/ 0 0) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (exp (/ 0 0)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 90 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 93 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (pow (- 1 (* v v)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 97 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 99 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 100 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 101 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (cbrt (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 102 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (cbrt (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 103 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 104 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 105 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) 1))) (cbrt (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 106 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 107 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 1 (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 108 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 1 1))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 109 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 PI) 3) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ (/ 1 PI) 3) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 110 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (sqrt (- 1 (* v v)))))) (cbrt (/ (/ (/ 1 PI) 3) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 111 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 1))) (cbrt (/ (/ 1 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 112 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt 1)) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 113 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (pow (- 1 (* v v)) (* -1 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (* PI 3)))) (pow (- 1 (* v v)) (* -1 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 114 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ (* v v) (* (* v v) (* v v))) 1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (cbrt (+ (+ (* v v) (* (* v v) (* v v))) 1))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 115 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (cbrt (+ 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 116 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 117 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/2))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 118 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 119 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3))) (* (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 120 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/2 1/3)) (* (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 121 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (* (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 122 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (sqrt (- 1 (* v v))))) (* (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 123 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (pow (/ 4 (* 3 PI)) (+ 1/3 1/3))) (* (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 124 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (sqrt (/ 4 (* 3 PI))) (pow (- 1 (* v v)) (+ 1/3 1/3)))) (* (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 125 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (* (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 126 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (pow (/ 4 (* 3 PI)) (* 1/2 1/3)) (* (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 127 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (pow (pow (- 1 (* v v)) (+ 1/3 1/3)) (* -1 1/3)) (* (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 128 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (pow (sqrt (- 1 (* v v))) (* -1 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (pow (sqrt (- 1 (* v v))) (* -1 1/3)) (* (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 129 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* 1 (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 130 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (pow (- 1 (* v v)) (+ 1/3 1/3)))) (* (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 131 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (* (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 132 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt 4) (* (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 133 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* 1 (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 134 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (* (cbrt (/ 1 (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 135 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (* (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 136 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (* (cbrt (+ 1 (* v v))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 137 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3)) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3)) (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/3))) (* (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 138 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1/3 1/2)) (* (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 139 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (* PI 3)))) (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 141 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (/ (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 142 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (* 1/3 (* v v)) (cbrt (/ 4/3 PI))) (+ (cbrt (/ 4/3 PI)) (* (cbrt (/ 4/3 PI)) (* (pow v 4) 2/9)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (+ (* (* 1/3 (* v v)) (cbrt (/ 4/3 PI))) (+ (cbrt (/ 4/3 PI)) (* (cbrt (/ 4/3 PI)) (* (pow v 4) 2/9))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 144 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (438 enodes) * [exit]simplify: Simplified to (+ (+ (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow v (- 4)) 2/9))) (* (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (/ 1 v) (/ 1 v))) 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (+ (+ (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow v (- 4)) 2/9))) (* (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (/ 1 v) (/ 1 v))) 1/3))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 145 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (437 enodes) * [exit]simplify: Simplified to (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (/ (/ 1 v) v) 1/3)) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (pow v (- 4)) 2/9)) (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (/ (/ 1 v) v) 1/3)) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (pow v (- 4)) 2/9)) (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3)))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 146 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (* 1/3 (* v v)) (cbrt (/ 4/3 PI))) (+ (cbrt (/ 4/3 PI)) (* (cbrt (/ 4/3 PI)) (* (pow v 4) 2/9)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (+ (* (* 1/3 (* v v)) (cbrt (/ 4/3 PI))) (+ (cbrt (/ 4/3 PI)) (* (cbrt (/ 4/3 PI)) (* (pow v 4) 2/9))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 147 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (438 enodes) * [exit]simplify: Simplified to (+ (+ (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow v (- 4)) 2/9))) (* (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (/ 1 v) (/ 1 v))) 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (+ (+ (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow v (- 4)) 2/9))) (* (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (/ 1 v) (/ 1 v))) 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 148 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (437 enodes) * [exit]simplify: Simplified to (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (/ (/ 1 v) v) 1/3)) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (pow v (- 4)) 2/9)) (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (/ (/ 1 v) v) 1/3)) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (pow v (- 4)) 2/9)) (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 149 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (299 enodes) * [exit]simplify: Simplified to (+ (* (* 1/3 (* v v)) (cbrt (/ 4/3 PI))) (+ (cbrt (/ 4/3 PI)) (* (cbrt (/ 4/3 PI)) (* (pow v 4) 2/9)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (+ (* (* 1/3 (* v v)) (cbrt (/ 4/3 PI))) (+ (cbrt (/ 4/3 PI)) (* (cbrt (/ 4/3 PI)) (* (pow v 4) 2/9)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 150 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (438 enodes) * [exit]simplify: Simplified to (+ (+ (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow v (- 4)) 2/9))) (* (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (/ 1 v) (/ 1 v))) 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (+ (+ (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (pow v (- 4)) 2/9))) (* (* (pow (* (* (/ 1 v) (/ 1 v)) (/ -4/3 PI)) 1/3) (* (/ 1 v) (/ 1 v))) 1/3)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 151 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (437 enodes) * [exit]simplify: Simplified to (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (/ (/ 1 v) v) 1/3)) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (pow v (- 4)) 2/9)) (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (/ (/ 1 v) v) 1/3)) (+ (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3) (* (pow v (- 4)) 2/9)) (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 152 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/3 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 2))) (+ (* 5/9 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 4))) (pow (/ 16/9 (pow PI 2)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (331 enodes) * [exit]simplify: Simplified to (+ (* (* 5/9 (pow v 4)) (cbrt (/ (/ 16/9 PI) PI))) (+ (cbrt (/ (/ 16/9 PI) PI)) (* (cbrt (/ (/ 16/9 PI) PI)) (* (* v v) 2/3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (+ (* (* 5/9 (pow v 4)) (cbrt (/ (/ 16/9 PI) PI))) (+ (cbrt (/ (/ 16/9 PI) PI)) (* (cbrt (/ (/ 16/9 PI) PI)) (* (* v v) 2/3)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 153 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (472 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3)) (* (pow v (- 4)) 5/9)) (* (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3))) (* (/ (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) v) (* (/ (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) v) 2/3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (+ (+ (* (* (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3)) (* (pow v (- 4)) 5/9)) (* (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3))) (* (/ (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) v) (* (/ (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) 1/3) v) 2/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 154 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (471 enodes) * [exit]simplify: Simplified to (+ (* (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3) (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3)) (+ (* (* (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3) (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3)) (* (/ (/ 1 v) v) 2/3)) (* (* (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3) (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3)) (* (pow v (- 4)) 5/9)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (+ (* (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3) (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3)) (+ (* (* (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3) (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3)) (* (/ (/ 1 v) v) 2/3)) (* (* (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3) (pow (* (* (/ -1 v) (/ -1 v)) (/ -4/3 PI)) 1/3)) (* (pow v (- 4)) 5/9)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [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 4045 additional inputs, on iter 1 have 3955 / 8000 * * * * [misc]points: Computing exacts on every 252 of 4045 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 126 of 4045 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 4045 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 4045 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 4045 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 4045 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 4045 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4045 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 2034 additional inputs, on iter 2 have 5966 / 8000 * * * * [misc]points: Computing exacts on every 127 of 2034 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 2034 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 2034 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 2034 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 2034 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 2034 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2034 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 1014 additional inputs, on iter 3 have 6986 / 8000 * * * * [misc]points: Computing exacts on every 63 of 1014 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 1014 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 1014 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 1014 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 1014 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1014 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 507 additional inputs, on iter 4 have 7493 / 8000 * * * * [misc]points: Computing exacts on every 31 of 507 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 507 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 507 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 507 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 507 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 251 additional inputs, on iter 5 have 7749 / 8000 * * * * [misc]points: Computing exacts on every 15 of 251 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 251 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 251 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 251 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 60 additional inputs, on iter 7 have 7940 / 8000 * * * * [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 34 additional inputs, on iter 8 have 7966 / 8000 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 34 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 18 additional inputs, on iter 9 have 7982 / 8000 * * * * [misc]points: Computing exacts for 18 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 10 have 7988 / 8000 * * * * [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 4 additional inputs, on iter 11 have 7996 / 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 12 have 7999 / 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 8002 points with exact outputs