* [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 127 additional inputs, on iter 1 have 129 / 256 * * * * [misc]points: Computing exacts on every 7 of 127 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 127 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 127 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 69 additional inputs, on iter 2 have 187 / 256 * * * * [misc]points: Computing exacts on every 4 of 69 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 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 69 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 46 additional inputs, on iter 3 have 210 / 256 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 46 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 28 additional inputs, on iter 4 have 228 / 256 * * * * [misc]points: Computing exacts for 28 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 14 additional inputs, on iter 5 have 242 / 256 * * * * [misc]points: Computing exacts for 14 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 6 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 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 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 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) -6) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 -6))) 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))))) 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 (* (* (/ 1 v) (/ 1 v)) -6) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -6) 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 (+ (* 1 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) 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 (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -6) 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 (+ (* 1 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (* 0 -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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) 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 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (* (* v v) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* v v) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) 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 (+ (* 0 0) (* 0 -6)) 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 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (* (* v v) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* v v) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) 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 (+ (* 0 0) (* 0 -6)) 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 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt 2) PI)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 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 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 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 (+ (* 0 0) (+ (* 0 0) (* 1 -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 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 -6)))) 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 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -6))))) 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 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 4/3 (* (sqrt 2) PI)))) into (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (* (* (/ 1 v) (/ 1 v)) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (* (* (/ 1 v) (/ 1 v)) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) 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 v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (* (* (/ 1 (- v)) (/ 1 (- v))) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into 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 (* (* (/ 1 (- v)) (/ 1 (- v))) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) 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 (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) 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 v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4/3 PI)) (log (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 22 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 25 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 30 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 31 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 32 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 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)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 33 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 34 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 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 (* (* v v) -6))))) * * * * [misc]progress: [ 35 / 212 ] 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 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 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 (* (* v v) -6))))) * * * * [misc]progress: [ 36 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 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 (* (* v v) -6))))) * * * * [misc]progress: [ 37 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 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 (* (* v v) -6))))) * * * * [misc]progress: [ 38 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 39 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 40 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4/3 (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4/3 (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 41 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 45 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 46 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) 1) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 47 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (- 1 (* v v)) (cbrt (/ 4/3 PI)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 48 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 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 (/ 4/3 PI)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 49 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ 1 (+ (* v v) (pow v 4))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (+ 1 (+ (* v v) (pow v 4)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 52 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 53 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 56 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 57 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (+ 2 (* (* v v) -6))) (sqrt (+ 2 (* (* v v) -6)))) (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (/ (+ (* (* -6 v) v) 2) (/ (/ 4/3 PI) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (/ (+ (* (* -6 v) v) 2) (/ (/ 4/3 PI) (- 1 (* v v)))))))) * * * * [misc]progress: [ 60 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ 4/3 PI) (- 1 (* v v)))) (* (* (sqrt (+ 2 (* (* v v) -6))) (sqrt (+ 2 (* (* v v) -6)))) (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (+ (* (* -6 v) v) 2))) (sqrt (+ (* (* -6 v) v) 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (* (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (+ (* (* -6 v) v) 2))) (sqrt (+ (* (* -6 v) v) 2))))) * * * * [misc]progress: [ 61 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 66 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 67 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 68 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 69 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 70 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 71 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 72 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 73 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 74 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 75 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 76 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 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 (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 77 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 78 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 79 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 80 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 81 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 82 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 83 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 84 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 85 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 86 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 87 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 88 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 89 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 90 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 91 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 92 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 93 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 94 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 95 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 96 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 97 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 98 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 99 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 100 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 101 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 102 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 103 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 104 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 105 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 106 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 107 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 108 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 109 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 110 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 111 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 112 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 113 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 114 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 115 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 116 / 212 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 117 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 118 / 212 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 119 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v -6) v) 2))) (cbrt (sqrt (+ (* (* v -6) v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v -6) v) 2))) (cbrt (sqrt (+ (* (* v -6) v) 2))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 120 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 121 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 122 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 123 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 124 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 125 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 126 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 127 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 128 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 129 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 130 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 131 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 132 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 133 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 134 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 135 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 136 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 137 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 138 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 139 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 140 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 141 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 142 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 143 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (sqrt (+ 2 (* v (* -6 v))))) (cbrt (sqrt (+ 2 (* v (* -6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (* (cbrt (sqrt (+ 2 (* v (* -6 v))))) (cbrt (sqrt (+ 2 (* v (* -6 v))))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (* (cbrt (sqrt (+ 2 (* v (* -6 v))))) (cbrt (sqrt (+ 2 (* v (* -6 v))))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))))) * * * * [misc]progress: [ 144 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 4/3 (fabs (cbrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* -6 v)) 2)))))) * * * * [misc]progress: [ 145 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))))) * * * * [misc]progress: [ 146 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))))) * * * * [misc]progress: [ 147 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4/3 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))))) * * * * [misc]progress: [ 148 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4/3 (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))))) * * * * [misc]progress: [ 149 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ 2 (* v (* -6 v)))))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (+ 2 (* v (* -6 v)))))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 150 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 151 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 152 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 153 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 154 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 155 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (* (cbrt (sqrt (+ 2 (* v (* -6 v))))) (cbrt (sqrt (+ 2 (* v (* -6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (* (cbrt (sqrt (+ 2 (* v (* -6 v))))) (cbrt (sqrt (+ 2 (* v (* -6 v))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 156 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (fabs (cbrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 157 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 158 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 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 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 PI) (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))) * * * * [misc]progress: [ 159 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 160 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 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 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 PI) (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))) * * * * [misc]progress: [ 161 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (+ 1 (+ (* v v) (pow v 4))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 162 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 163 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 164 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))))) * * * * [misc]progress: [ 165 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 166 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))))) * * * * [misc]progress: [ 167 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (* (- PI (* PI (pow v 4))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (* (- PI (* PI (pow v 4))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ 1 (* v v)) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (* (- PI (* PI (pow v 4))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ 1 (* v v)) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 168 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (+ 1 (* v v)) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (+ 1 (* v v)) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 169 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 170 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))))) * * * * [misc]progress: [ 171 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 172 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))))) * * * * [misc]progress: [ 173 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 177 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) (sqrt (cbrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 178 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (sqrt (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 179 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* (* v v) -6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* v v) -6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt 1)) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 180 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (sqrt (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 181 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* (* v v) -6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* v v) -6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4/3 PI) (- 1 (* v v))) 1) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 182 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (sqrt (+ 2 (* (* v v) -6))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))))) * * * * [misc]progress: [ 183 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 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 (* (* v v) -6))) (sqrt (/ (/ 4/3 PI) (- 1 (* v v))))))) * * * * [misc]progress: [ 184 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 185 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 186 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))))) * * * * [misc]progress: [ 187 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 188 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 189 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4/3 PI)) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))))) * * * * [misc]progress: [ 190 / 212 ] 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 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 191 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 192 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 4/3 PI) (- 1 (* v v)))))) * * * * [misc]progress: [ 193 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 194 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 195 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4/3 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 4/3 (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 PI) (- 1 (* v v)))))) * * * * [misc]progress: [ 196 / 212 ] simplifiying candidate # * * * * [misc]progress: [ 197 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (/ (sqrt (+ 2 (* (* v v) -6))) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 198 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (sqrt (+ 2 (* (* v v) -6))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 199 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (sqrt (+ 2 (* (* v v) -6))) (+ 1 (* v v))))) * * * * [misc]progress: [ 200 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (- (* (* (* v v) -6) (* (* v v) -6)) (* 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow v 4) 36) (+ (* (* 12 v) v) 4))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (pow 2 3) (pow (* (* v v) -6) 3)))) (sqrt (+ (* (pow v 4) 36) (+ (* (* 12 v) v) 4))))) * * * * [misc]progress: [ 201 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* (* v v) -6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 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 2) (* (* (* v v) -6) (* (* v v) -6))))) (sqrt (- 2 (* (* v v) -6))))) * * * * [misc]progress: [ 202 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))) * * * * [misc]progress: [ 203 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 204 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (* -6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 205 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (* -6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 206 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (* -6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 207 / 212 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (+ (pow v 4) (* v v)) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (+ (pow v 4) (* v v)) (/ 4/3 PI))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 208 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 209 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 210 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (pow v 4) PI) (/ 2 (sqrt 2))) (+ (/ (/ 4/3 (sqrt 2)) PI) (/ (* (/ 4/3 PI) (pow v 4)) (sqrt 2)))) (+ (* (/ v (/ PI v)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2)))) (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5)))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (* (/ (pow v 4) PI) (/ 2 (sqrt 2))) (+ (/ (/ 4/3 (sqrt 2)) PI) (/ (* (/ 4/3 PI) (pow v 4)) (sqrt 2)))) (+ (* (/ v (/ PI v)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2)))) (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5))))) * * * * [misc]progress: [ 211 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))) (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))) (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6))))))) * * * * [misc]progress: [ 212 / 212 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (+ (+ (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (- (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (- (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -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 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* v v) -6) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 -6))) 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))))) 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 (* (* (/ 1 v) (/ 1 v)) -6) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -6) 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 (+ (* 1 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) 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 (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -6) 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 (+ (* 1 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (* 0 -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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (* (* v v) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* v v) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) 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 (+ (* 0 0) (* 0 -6)) 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 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (* (* v v) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* v v) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) 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 (+ (* 0 0) (* 0 -6)) 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 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt 2) PI)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 0 0) (+ (* 0 0) (* 1 -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 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 -6)))) 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 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -6))))) 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 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 4/3 (* (sqrt 2) PI)))) into (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (* (* (/ 1 v) (/ 1 v)) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (* (* (/ 1 v) (/ 1 v)) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) 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 v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (* (* (/ 1 (- v)) (/ 1 (- v))) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ PI 4/3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4/3)) in v * [misc]taylor: Taking taylor expansion of (/ PI 4/3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (/ PI 4/3) into (* 3/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3/4 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 (* (* (/ 1 (- v)) (/ 1 (- v))) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) 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 (- (/ 0 4/3) (+ (* (* 3/4 PI) (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)) (* 0 (/ 0 4/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4/3 PI) (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 PI))) (* 0 (/ 0 (* 3/4 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) 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 v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 2 (* (* v v) -6))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 2 (* (* v v) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* v v) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) 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 (+ (* 0 0) (* 0 -6)) 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 (* (* v v) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* v v) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* v v) -6) in v * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -6) 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 (+ (* 0 0) (* 0 -6)) 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 (+ (* 0 0) (+ (* 0 0) (* 1 -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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 -6)))) 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 (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -6))))) 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 (* (* (/ 1 v) (/ 1 v)) -6))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 2 (* (* (/ 1 v) (/ 1 v)) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (* (* (/ 1 v) (/ 1 v)) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 v) (/ 1 v)) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) (/ 1 v)) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) 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 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (* (* (/ 1 (- v)) (/ 1 (- v))) -6))) in v * [misc]taylor: Taking taylor expansion of (+ 2 (* (* (/ 1 (- v)) (/ 1 (- v))) -6)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) (/ 1 (- v))) -6) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -6 in v * [misc]backup-simplify: Simplify -6 into -6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -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 (+ (* 1 0) (* 0 -6)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 -6))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) 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 v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ PI 4/3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (- (log 4/3) (log PI)) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (- (log 4/3) (log PI)) (log (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 12 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (/ PI 4/3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4/3 PI)) (log (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 13 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ PI 4/3)) (/ 1 (/ PI 4/3))) (/ 1 (/ PI 4/3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (115 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 (* (* v v) -6))))) * * * * [misc]progress: [ 16 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 21 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 22 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 23 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 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)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 24 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 25 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4/3 PI)) (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 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 (* (* v v) -6))))) * * * * [misc]progress: [ 26 / 245 ] 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 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (116 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 (* (* v v) -6))))) * * * * [misc]progress: [ 27 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (116 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 (* (* v v) -6))))) * * * * [misc]progress: [ 28 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (260 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 (* (* v v) -6))))) * * * * [misc]progress: [ 29 / 245 ] 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 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (116 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 (* (* v v) -6))))) * * * * [misc]progress: [ 30 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (116 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 (* (* v v) -6))))) * * * * [misc]progress: [ 31 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (260 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 (* (* v v) -6))))) * * * * [misc]progress: [ 32 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4/3 (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ 4/3 (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4/3 (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 4/3 (cbrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 33 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ 4/3 (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ 4/3 (sqrt (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 34 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 PI) (/ 4/3 (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * [enter]simplify: Simplifying (/ 4/3 (- 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 4/3 (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 PI) (/ 4/3 (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 35 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 39 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 40 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) 1) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 41 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (- 1 (* v v)) (cbrt (/ 1 (/ PI 4/3))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 42 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ PI 4/3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 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 (/ 1 (/ PI 4/3))))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 43 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 1 PI) (/ (- 1 (* v v)) 4/3)) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 46 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ 1 (+ (* v v) (pow v 4))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (+ 1 (+ (* v v) (pow v 4)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 47 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 48 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (/ PI 4/3))) (log (- 1 (* v v)))) (log (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (- (- (- (log 4/3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (- (log 4/3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 51 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 1 (/ PI 4/3))) (log (- 1 (* v v)))) (log (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* v (* -6 v)) 2)))))) * * * * [misc]progress: [ 52 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (log (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 53 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 1 (/ PI 4/3)) (/ 1 (/ PI 4/3))) (/ 1 (/ PI 4/3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (+ 2 (* (* v v) -6))) (sqrt (+ 2 (* (* v v) -6)))) (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (+ (* v (* -6 v)) 2)) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (+ (* v (* -6 v)) 2)) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* -6 v)) 2)))))) * * * * [misc]progress: [ 56 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (* (* (sqrt (+ 2 (* (* v v) -6))) (sqrt (+ 2 (* (* v v) -6)))) (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (+ (* (* -6 v) v) 2) (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (+ (* (* -6 v) v) 2))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (/ (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (+ (* (* -6 v) v) 2) (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (+ (* (* -6 v) v) 2))))) * * * * [misc]progress: [ 57 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 62 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 63 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 64 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 65 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 66 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 67 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 68 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 69 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 70 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (261 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 71 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 72 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (259 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 (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 73 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 74 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 75 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 76 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 77 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 78 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 79 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 80 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 81 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 82 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 83 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 84 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 85 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* (* v v) -6) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* (* v v) -6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* (* v v) -6) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* (* v v) -6) 2))))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* (* v v) -6) 2)))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ (* (* v v) -6) 2))))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 86 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 87 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 88 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 89 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 90 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 91 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 92 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v v) -6) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 93 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 94 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 95 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 96 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 97 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (cbrt (sqrt (+ (* v (* -6 v)) 2))))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 98 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 99 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 100 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 101 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 102 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (+ (* v (* -6 v)) 2))))) * * * * [misc]progress: [ 103 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4/3 PI)) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 104 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 105 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 106 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 107 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 108 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4/3 PI)) (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 109 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 110 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 111 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 112 / 245 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 113 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 114 / 245 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 115 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v -6) v) 2))) (cbrt (sqrt (+ (* (* v -6) v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v -6) v) 2))) (cbrt (sqrt (+ (* (* v -6) v) 2))))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 116 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 117 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 118 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 119 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 120 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 121 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 122 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 123 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 124 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 125 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 126 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 127 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v v) -6) 2))) (cbrt (sqrt (+ (* (* v v) -6) 2))))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 128 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 129 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 130 / 245 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 131 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 132 / 245 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 133 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v -6) v) 2))) (cbrt (sqrt (+ (* (* v -6) v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ (* (* v -6) v) 2))) (cbrt (sqrt (+ (* (* v -6) v) 2))))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 134 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 135 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 136 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 137 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 138 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 139 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (cbrt (sqrt (+ 2 (* (* v -6) v)))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 140 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 141 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 142 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 143 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 144 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 145 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (* (cbrt (- 1 (* v v))) PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* -6 v)) 2)))) (* (cbrt (sqrt (+ (* v (* -6 v)) 2))) (* (cbrt (- 1 (* v v))) PI))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 146 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 147 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 148 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 149 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 150 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (cbrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 151 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* (* v v) -6) 2)))) (* (* (sqrt (- 1 (* v v))) PI) (cbrt (sqrt (+ (* (* v v) -6) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (+ (* (* v v) -6) 2)))) (* (* (sqrt (- 1 (* v v))) PI) (cbrt (sqrt (+ (* (* v v) -6) 2))))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 152 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ (* v (* v -6)) 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 153 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 154 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 155 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 156 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (+ (* -6 (* v v)) 2))))) * * * * [misc]progress: [ 157 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (* PI (cbrt (sqrt (+ (* (* -6 v) v) 2))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (* PI (cbrt (sqrt (+ (* (* -6 v) v) 2))))) (/ (/ 4/3 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (+ (* (* -6 v) v) 2)))) (* PI (cbrt (sqrt (+ (* (* -6 v) v) 2))))) (/ (/ 4/3 (- 1 (* v v))) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 158 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 159 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 160 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))))) * * * * [misc]progress: [ 161 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 PI) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) (/ (/ 4/3 (- 1 (* v v))) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 162 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 PI) 1) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 PI) (/ (/ 4/3 (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))))) * * * * [misc]progress: [ 163 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ 2 (* v (* -6 v)))))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (+ 2 (* v (* -6 v)))))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 164 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 165 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 166 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 167 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (+ 2 (* (* v v) -6))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))))) * * * * [misc]progress: [ 168 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* v (* v -6)) 2))))) * * * * [misc]progress: [ 169 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 170 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (fabs (cbrt (+ 2 (* (* v -6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (fabs (cbrt (+ 2 (* (* v -6) v))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 171 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* v (* v -6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* v (* v -6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* v (* v -6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 172 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 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 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 PI) (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))) * * * * [misc]progress: [ 173 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* v (* v -6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* v (* v -6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (sqrt (sqrt (+ 2 (* v (* v -6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ 2 (* v (* -6 v)))))))) * * * * [misc]progress: [ 174 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 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 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4/3 PI) (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))) * * * * [misc]progress: [ 175 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4/3 PI) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) (/ (+ 1 (+ (* v v) (pow v 4))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 176 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* (pow v 5) v))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 5) v))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (* (pow v 5) v))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 177 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow (* v v) 3))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow (* v v) 3))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow (* v v) 3))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 178 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))))) * * * * [misc]progress: [ 179 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow (* v v) 3))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow (* v v) 3))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow (* v v) 3))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))))) * * * * [misc]progress: [ 180 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (+ 1 (+ (* v v) (pow v 4))) (sqrt (+ (* (* v -6) v) 2))))) * * * * [misc]progress: [ 181 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (- 1 (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (- 1 (pow v 4)))) (/ (+ 1 (* v v)) (cbrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (- 1 (pow v 4)))) (/ (+ 1 (* v v)) (cbrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 182 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (+ 1 (* v v)) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ (* v (* -6 v)) 2)))) (/ (+ 1 (* v v)) (sqrt (cbrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 183 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 184 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))))) * * * * [misc]progress: [ 185 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ (* v (* -6 v)) 2)))) (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v v) -6) 2)))))) * * * * [misc]progress: [ 186 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (+ 1 (* v v)) (sqrt (+ (* (* v v) -6) 2))))) * * * * [misc]progress: [ 187 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 188 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 189 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 190 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* (cbrt (sqrt (+ 2 (* (* v v) -6)))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) (cbrt (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 191 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6)))))) (sqrt (cbrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 192 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (sqrt (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 193 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* (* v v) -6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* v v) -6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt 1)) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 194 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (sqrt (+ 2 (* (* v v) -6))))) (sqrt (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 195 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* (* v v) -6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* v v) -6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) 1) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 196 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (sqrt (+ 2 (* (* v v) -6))) (cbrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 197 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (258 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 (* (* v v) -6))) (sqrt (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 198 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (cbrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 199 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (cbrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 200 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ PI 4/3))) (cbrt (/ 1 (/ PI 4/3)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (cbrt (/ 1 (/ PI 4/3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 201 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (sqrt (/ 1 (/ PI 4/3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 202 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (sqrt (/ 1 (/ PI 4/3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 203 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ PI 4/3))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4/3 PI)) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (sqrt (/ 1 (/ PI 4/3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 204 / 245 ] 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 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 205 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 206 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 207 / 245 ] 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 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 (/ PI 4/3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 208 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 (/ PI 4/3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 209 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (sqrt (+ 2 (* (* v v) -6))) (/ (/ 1 (/ PI 4/3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 210 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ 4/3 (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 211 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ (sqrt (+ 2 (* (* v v) -6))) (/ 4/3 (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 212 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 PI) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 PI) (/ (sqrt (+ 2 (* (* v v) -6))) (/ 4/3 (- 1 (* v v)))))) * * * * [misc]progress: [ 213 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 214 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ PI 4/3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (/ (sqrt (+ 2 (* (* v v) -6))) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 215 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (/ (sqrt (+ 2 (* (* v v) -6))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 216 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ PI 4/3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (/ (sqrt (+ 2 (* (* v v) -6))) (+ 1 (* v v))))) * * * * [misc]progress: [ 217 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (- (* (* (* v v) -6) (* (* v v) -6)) (* 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow v 4) 36) (+ (* (* 12 v) v) 4))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ (pow 2 3) (pow (* (* v v) -6) 3)))) (sqrt (+ (* (pow v 4) 36) (+ (* (* 12 v) v) 4))))) * * * * [misc]progress: [ 218 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* (* v v) -6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* v v) -6))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* (* v v) -6) (* (* v v) -6))))) (sqrt (- 2 (* (* v v) -6))))) * * * * [misc]progress: [ 219 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ PI 4/3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4/3 PI) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))) * * * * [misc]progress: [ 220 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 221 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 222 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 223 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 224 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 226 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 2 (* (* v v) -6))) (cbrt (+ 2 (* (* v v) -6))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* (fabs (cbrt (+ 2 (* (* v v) -6)))) (sqrt (cbrt (+ 2 (* (* v v) -6))))))) * * * * [misc]progress: [ 227 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 2 (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 2 (* (* v v) -6)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* (sqrt (sqrt (+ 2 (* (* v v) -6)))) (sqrt (sqrt (+ 2 (* (* v v) -6))))))) * * * * [misc]progress: [ 228 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (* 1 (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 229 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 2 3) (pow (* (* v v) -6) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow v 6) -216) 8)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (/ (sqrt (+ (* (pow v 6) -216) 8)) (sqrt (+ (* 2 2) (- (* (* (* v v) -6) (* (* v v) -6)) (* 2 (* (* v v) -6)))))))) * * * * [misc]progress: [ 230 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 2 2) (* (* (* v v) -6) (* (* v v) -6)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (sqrt (+ 4 (* -36 (pow v 4)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (/ (sqrt (+ 4 (* -36 (pow v 4)))) (sqrt (- 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 231 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 232 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* (* v v) -6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* v v) -6))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (fabs (sqrt (+ 2 (* (* v v) -6)))))) * * * * [misc]progress: [ 233 / 245 ] simplifiying candidate # * * * * [misc]progress: [ 234 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (* -6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 235 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (* -6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 236 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (* -6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) -6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 237 / 245 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (+ (pow v 4) (* v v)) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (+ (pow v 4) (* v v)) (/ 4/3 PI))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 238 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 239 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ -4/3 (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 240 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (pow v 4) PI) (/ 2 (sqrt 2))) (+ (/ (/ 4/3 (sqrt 2)) PI) (/ (* (/ 4/3 PI) (pow v 4)) (sqrt 2)))) (+ (* (/ v (/ PI v)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2)))) (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5)))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (* (/ (pow v 4) PI) (/ 2 (sqrt 2))) (+ (/ (/ 4/3 (sqrt 2)) PI) (/ (* (/ 4/3 PI) (pow v 4)) (sqrt 2)))) (+ (* (/ v (/ PI v)) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2)))) (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5))))) * * * * [misc]progress: [ 241 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))) (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))) (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6))))))) * * * * [misc]progress: [ 242 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (+ (+ (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (- (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 3)) (* PI (sqrt -6)))) (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI))) (- (- (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6)))))) * * * * [misc]progress: [ 243 / 245 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (- (- (sqrt 2) (/ (pow v 4) (/ (sqrt 2) 9/4))) (* (/ (* v 3) (sqrt 2)) v)) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (- (- (sqrt 2) (/ (pow v 4) (/ (sqrt 2) 9/4))) (* (/ (* v 3) (sqrt 2)) v)))) * * * * [misc]progress: [ 244 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (+ (/ (/ -1/2 (* v v)) (* (sqrt -6) (* -6 v))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (+ (/ (/ -1/2 (* v v)) (* (sqrt -6) (* -6 v))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))))) * * * * [misc]progress: [ 245 / 245 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 v) -6) (* (* v v) (sqrt -6))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 1 (/ PI 4/3)) (- 1 (* v v))) (- (/ (/ (/ 1/2 v) -6) (* (* v v) (sqrt -6))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 2 branch expressions: (v (* v v)) * * * * [misc]regimes: Trying to branch on v from (# #) * * * * [misc]regimes: Trying to branch on (* v v) from (# #) * * * [misc]regime: Found split indices: #