* [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 120 additional inputs, on iter 1 have 136 / 256 * * * * [misc]points: Computing exacts on every 7 of 120 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 120 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 120 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 68 additional inputs, on iter 2 have 188 / 256 * * * * [misc]points: Computing exacts on every 4 of 68 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 68 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 68 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 38 additional inputs, on iter 3 have 218 / 256 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 38 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 20 additional inputs, on iter 4 have 236 / 256 * * * * [misc]points: Computing exacts for 20 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 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 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 (87 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* PI 3)) (- 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 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [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) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [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 (+ (* -1 0) (* 0 6)) 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 -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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -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 (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 (+ (* -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow 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 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow 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: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (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 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (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 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 12 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 13 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 16 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 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 (50 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))) * [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))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 17 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 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 (71 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 22 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 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 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 23 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (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 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) 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 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 24 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 25 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (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 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) 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 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 26 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (181 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 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 27 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 28 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 29 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 30 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 31 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 32 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 33 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (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 (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 34 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 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))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [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 (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 35 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 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 (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 36 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [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 1)) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 37 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 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 (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 38 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (287 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 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [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 (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 39 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (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 (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 40 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 41 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 42 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 43 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 44 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (198 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 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [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 (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 45 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 46 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 47 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 48 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 49 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 50 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 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 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 51 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (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 (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 52 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 53 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 54 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 55 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 56 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 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 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [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 (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 57 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 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 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (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 (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 58 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 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 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 59 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 60 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 61 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 62 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 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 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [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 (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 63 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 64 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 65 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 66 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 67 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 68 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 69 / 218 ] 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 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [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 (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 70 / 218 ] 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 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 71 / 218 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [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 (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 72 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 73 / 218 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [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 (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 74 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (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 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [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 (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 75 / 218 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [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 (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 76 / 218 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 77 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [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 (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 78 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 79 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [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 (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 80 / 218 ] 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 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 81 / 218 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (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 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [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 (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 82 / 218 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 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 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 83 / 218 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 84 / 218 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 85 / 218 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 86 / 218 ] 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 87 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 88 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 89 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 90 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 91 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 92 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 93 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 94 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 95 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 96 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 97 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 98 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 99 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 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 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 100 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 101 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* 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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 102 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 103 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* 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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 104 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 105 / 218 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 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 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (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 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [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 (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 106 / 218 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 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 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 107 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 108 / 218 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 109 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 110 / 218 ] 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 111 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 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 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (111 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 112 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 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 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 113 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 114 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt 1)) 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 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 115 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 116 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (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 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 117 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 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 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 118 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 119 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 120 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 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 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 121 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 122 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 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 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 123 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* 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 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 124 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* 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 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 125 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 126 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 127 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 128 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 129 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 132 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 133 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 134 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 135 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 136 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 137 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 138 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (165 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 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 139 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 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 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 140 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 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 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 141 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 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 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 142 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 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 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 143 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 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 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 144 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 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 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 145 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 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 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 146 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (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 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 147 / 218 ] 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 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 148 / 218 ] 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 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 149 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 150 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 151 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 4 (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 152 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 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: [ 154 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (- 2 (* v (* v 6)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 155 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (+ 1 (* v v))))) * * * * [misc]progress: [ 156 / 218 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3)))) (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))))) * * * * [misc]progress: [ 157 / 218 ] 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 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6)))))) (sqrt (+ 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 158 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 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: [ 159 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (290 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: [ 161 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (137 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: [ 164 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 168 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 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 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 169 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 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 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 170 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 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 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 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: [ 171 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 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 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 172 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 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 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 173 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 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: [ 174 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (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 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 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: [ 175 / 218 ] 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 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 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: [ 176 / 218 ] 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 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 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 (43 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (162 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: [ 177 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 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 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 178 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 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 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 179 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 180 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 181 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 183 / 218 ] 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 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 184 / 218 ] 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 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 185 / 218 ] 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 (* PI 3)) 1) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 186 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 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 (* PI 3))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 187 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 188 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 189 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 190 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 191 / 218 ] 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 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 192 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 193 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 194 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 195 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 196 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 197 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 198 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 199 / 218 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (fabs (cbrt (- 2 (* (* 6 v) v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 200 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt (sqrt (- 2 (* (* 6 v) v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 201 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt 1) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 202 / 218 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3))) (sqrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 203 / 218 ] 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 (155 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (sqrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) (sqrt (+ 2 (* v (* v 6))))))) * * * * [misc]progress: [ 204 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 205 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (fabs (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 206 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 207 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 208 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 209 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 210 / 218 ] 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 (264 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2)))))) * * * * [misc]progress: [ 211 / 218 ] 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 (294 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 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* 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 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))))) * * * * [misc]progress: [ 212 / 218 ] 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 (296 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 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))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 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)))))) * * * * [misc]progress: [ 213 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 214 / 218 ] 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 (115 enodes) * * [misc]simplify: iters left: 3 (282 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: [ 215 / 218 ] 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 (115 enodes) * * [misc]simplify: iters left: 3 (282 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: [ 216 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (- (- (sqrt 2) (* (/ (pow v 4) 2) (/ 9/2 (sqrt 2)))) (* v (/ (* v 3) (sqrt 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (- (sqrt 2) (* (/ (pow v 4) 2) (/ 9/2 (sqrt 2)))) (* v (/ (* v 3) (sqrt 2)))))) * * * * [misc]progress: [ 217 / 218 ] 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 (85 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v)) (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v)) (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6)))))) * * * * [misc]progress: [ 218 / 218 ] 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 (77 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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)) (/ 4/3 (* (sqrt 2) PI))) into (/ 16/9 (* (pow (sqrt 2) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (/ 16/9 (* (pow (sqrt 2) 2) (pow PI 2))) into (/ 16/9 (* (pow (sqrt 2) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4/3 (* (sqrt 2) PI)) 0) (* 0 (/ 4/3 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* (/ 4/3 (* (sqrt 2) PI)) (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI))))) (+ (* 0 0) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ 4/3 (* (sqrt 2) PI))))) into (+ (* 32/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* 32/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2))))) into (+ (* 32/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* (/ 4/3 (* (sqrt 2) PI)) 0) (+ (* 0 (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI))))) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) 0) (* 0 (/ 4/3 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* (/ 4/3 (* (sqrt 2) PI)) (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI)))))) (+ (* 0 0) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI))))) (+ (* 0 0) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (/ 4/3 (* (sqrt 2) PI))))))) into (+ (* 64/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 16/3 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2)))) (* 64 (/ 1 (* (pow (sqrt 2) 6) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ (* 64/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 16/3 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2)))) (* 64 (/ 1 (* (pow (sqrt 2) 6) (pow PI 2)))))) into (+ (* 64/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 16/3 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2)))) (* 64 (/ 1 (* (pow (sqrt 2) 6) (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 64/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 16/3 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2)))) (* 64 (/ 1 (* (pow (sqrt 2) 6) (pow PI 2)))))) (pow v 4)) (+ (* (+ (* 32/3 (/ 1 (* (pow (sqrt 2) 4) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2))))) (pow v 2)) (/ 16/9 (* (pow (sqrt 2) 2) (pow PI 2))))) into (+ (* 16/9 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2)))) (+ (* 32/9 (/ (pow v 2) (* (pow (sqrt 2) 2) (pow PI 2)))) (+ (* 64/3 (/ (pow v 4) (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 32/3 (/ (pow v 2) (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 64 (/ (pow v 4) (* (pow (sqrt 2) 6) (pow PI 2)))) (* 16/3 (/ (pow v 4) (* (pow (sqrt 2) 2) (pow PI 2))))))))) * [misc]approximate: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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)) (/ -4/3 (* (sqrt -6) PI))) into (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) into (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 (* (sqrt -6) PI)) 0) (* 0 (/ -4/3 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ 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 (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ 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 (* (sqrt -6) PI)) (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI))))) (+ (* 0 0) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ -4/3 (* (sqrt -6) PI))))) into (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) into (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 (* (sqrt -6) PI)) 0) (+ (* 0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI))))) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) 0) (* 0 (/ -4/3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 (* (sqrt -6) PI)) (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI)))))) (+ (* 0 0) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI))))) (+ (* 0 0) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (/ -4/3 (* (sqrt -6) PI))))))) into (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) into (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) (pow (/ 1 v) 10)) (+ (* (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) (pow (/ 1 v) 8)) (* (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) (pow (/ 1 v) 6)))) into (- (+ (* 16/9 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 16/3 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 6) (pow PI 2))))) (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 2) (pow PI 2)))))))) (+ (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 4) (pow PI 2))))) (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 4) (pow PI 2))))))) * [misc]approximate: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* (/ -4/3 (* (sqrt -6) PI)) (/ -4/3 (* (sqrt -6) PI))) into (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) into (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 (* (sqrt -6) PI)) 0) (* 0 (/ -4/3 (* (sqrt -6) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ 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 (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ 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 (* (sqrt -6) PI)) (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI))))) (+ (* 0 0) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ -4/3 (* (sqrt -6) PI))))) into (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) into (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4/3 (* (sqrt -6) PI)) 0) (+ (* 0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI))))) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) 0) (* 0 (/ -4/3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 (* (sqrt -6) PI)) (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI)))))) (+ (* 0 0) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI))))) (+ (* 0 0) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (/ -4/3 (* (sqrt -6) PI))))))) into (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) into (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 64/9 (/ 1 (* (pow (sqrt -6) 6) (pow PI 2)))) (* 16/3 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (* 64/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) (pow (/ 1 (- v)) 10)) (+ (* (- (* 32/9 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (* 32/9 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2))))) (pow (/ 1 (- v)) 8)) (* (/ 16/9 (* (pow (sqrt -6) 2) (pow PI 2))) (pow (/ 1 (- v)) 6)))) into (- (+ (* 16/9 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 16/3 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 6) (pow PI 2))))) (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 2) (pow PI 2)))))))) (+ (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 4) (pow PI 2))))) (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 4) (pow PI 2))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [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) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [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 (+ (* -1 0) (* 0 6)) 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 -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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -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 (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 (+ (* -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 1 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [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) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [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 (+ (* -1 0) (* 0 6)) 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 -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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -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 (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 (+ (* -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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: [ 4 / 4 ] generating series at (2 1 1 1 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [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) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [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 (+ (* -1 0) (* 0 6)) 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 -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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -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 (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 (+ (* -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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: simplifying candidates * * * * [misc]progress: [ 1 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ 1 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (pow (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (+ 1 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 2 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (pow (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 1) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 3 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ 1 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 5 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (+ (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 7 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (+ (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 8 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) (log (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v 6) v))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v 6) v))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v 6) v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 9 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (+ (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 10 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (+ (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 11 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) (log (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 12 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 13 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 14 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (log (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (exp (+ (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 15 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 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 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (/ (- 2 (* v (* 6 v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v))))) (- 2 (* v (* 6 v)))) (/ (* (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (/ (- 2 (* v (* 6 v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (/ (/ (* (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (/ (- 2 (* v (* 6 v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v))))) (- 2 (* v (* 6 v)))) (/ (* (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (/ (- 2 (* v (* 6 v))) (/ (/ (/ 4 PI) 3) (- 1 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 18 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 19 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* v (* 6 v)))) (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* v (* 6 v)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* v (* 6 v)))) (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* v (* 6 v)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 20 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 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 (28 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 21 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 22 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 23 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 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 (28 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (* (/ (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (- 2 (* 6 (* v v)))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (* (/ (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (- 2 (* 6 (* v v)))) (/ (/ (/ 4 PI) 3) (- 1 (* v v))))) (* (/ (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (- 2 (* 6 (* v v)))) (/ (/ (/ 4 PI) 3) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (* (* (/ (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (- 2 (* 6 (* v v)))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (* (/ (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (- 2 (* 6 (* v v)))) (/ (/ (/ 4 PI) 3) (- 1 (* v v))))) (* (/ (/ (/ (/ 4 PI) 3) (- 1 (* v v))) (- 2 (* 6 (* v v)))) (/ (/ (/ 4 PI) 3) (- 1 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 24 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* 6 (* v v)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* 6 (* v v))))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (* (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* 6 (* v v)))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* 6 (* v v))))) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 25 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (cbrt (pow (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 3)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 26 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- 2 (* (* 6 v) v)) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (/ (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (- 2 (* (* 6 v) v))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 30 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (* (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 32 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 33 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 34 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 35 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 36 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 37 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 38 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 39 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 40 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 41 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 42 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 43 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 44 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 45 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (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 (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 46 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 47 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 48 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 49 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 50 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 51 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (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 (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 52 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 53 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 54 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 55 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 56 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 57 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 58 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 59 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 60 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 61 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 62 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 63 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (* (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 (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 64 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 65 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 66 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 67 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 68 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 69 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (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 (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 70 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 71 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 72 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 73 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 74 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 75 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 76 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 77 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 78 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 79 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 80 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 81 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 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 (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 82 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 83 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 84 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 85 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 86 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1)) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 87 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 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 (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 88 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 89 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 90 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 91 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 92 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 (sqrt (- 1 (* v v)))) 1)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 93 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (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 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 94 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 95 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 96 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 1) (sqrt 1))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 97 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 98 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 1 1) 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 99 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 100 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 101 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 102 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 103 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 104 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1)) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 105 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 106 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 107 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 108 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 109 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 110 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (sqrt (- 1 (* v v)))) 1)) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 111 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 112 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 113 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* 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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 114 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 1) (sqrt 1))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 115 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* 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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 116 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 1) 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 117 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (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 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 118 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ 1 (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 119 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 120 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ 1 (sqrt 1))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 121 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 122 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ 1 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 123 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 124 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 125 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 126 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (sqrt 1))) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 127 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 128 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 129 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 130 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 131 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 132 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 133 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 134 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1)) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 135 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (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 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 136 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 137 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 138 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 139 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 140 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1)) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 141 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) 1) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 142 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ 1 (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 143 / 300 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3))))) (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 144 / 300 ] 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 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6))))))) (sqrt (+ 2 (* (* 6 v) v)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 145 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (* (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (* (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 146 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 147 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 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 (71 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 148 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 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 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 149 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (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 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 150 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 151 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (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 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 152 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 153 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 154 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 155 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 156 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 157 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 158 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 159 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 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 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 160 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 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 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 161 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 162 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 163 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 164 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (287 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 1) to (λ (v) (cbrt (* (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 165 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 166 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 167 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 168 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 169 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 170 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 171 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 172 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 173 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 174 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 175 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 176 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 177 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 178 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 179 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 180 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 181 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 182 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 183 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 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 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 184 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 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 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 185 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 186 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 187 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 188 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 189 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 190 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 191 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 192 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 193 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 194 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (sqrt (/ 4 (* 3 PI))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 195 / 300 ] 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 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 196 / 300 ] 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 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 197 / 300 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 198 / 300 ] 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 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 199 / 300 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 200 / 300 ] 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 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 201 / 300 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 202 / 300 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 203 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 204 / 300 ] 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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 205 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 206 / 300 ] 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 1 1) to (λ (v) (cbrt (* (* (/ 1 (sqrt (- 1 (* v v)))) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 207 / 300 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 208 / 300 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 209 / 300 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 210 / 300 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (sqrt 1)) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 211 / 300 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 212 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* 1 (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 213 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 214 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 215 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 216 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 217 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 218 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 219 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 220 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 221 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 222 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 223 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 224 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 4 (sqrt (- 1 (* v v)))) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 225 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 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 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 226 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 227 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 228 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 4 (sqrt 1)) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 229 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 230 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* 4 (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 231 / 300 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 232 / 300 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 233 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 234 / 300 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (sqrt 1)) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 235 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 236 / 300 ] 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 1) to (λ (v) (cbrt (* (* 1 (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 237 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 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 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (111 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 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 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)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 238 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) (* (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 239 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 240 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 3) (sqrt 1)) PI) (* (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 241 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (* (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 242 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ 4 (* 3 PI)) (* (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 243 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 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 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 244 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (* (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 245 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 246 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (* (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 247 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 248 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (* (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 249 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* 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 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (* (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 250 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* 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 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (* (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 251 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 252 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 253 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (* (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 254 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (* (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 255 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 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 (43 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* (/ 1 (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 257 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) (* (sqrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 258 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (* (+ 2 (* (* 6 v) v)) (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (* (+ 2 (* (* 6 v) v)) (- 2 (* (* 6 v) v))))) (* (sqrt (+ 2 (* v (* v 6)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 259 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (cbrt (* (/ (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 260 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (cbrt (* (/ (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 261 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 262 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 263 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 264 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 265 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 266 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 267 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 268 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 269 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 270 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 271 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 272 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 273 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 274 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 275 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 276 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 277 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 278 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 279 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 280 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 281 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 282 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 283 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 284 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 285 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 286 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 287 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 288 / 300 ] simplifiying candidate # * * * * [misc]progress: [ 289 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 16/9 (/ 1 (* (pow (sqrt 2) 2) (pow PI 2)))) (+ (* 32/9 (/ (pow v 2) (* (pow (sqrt 2) 2) (pow PI 2)))) (+ (* 64/3 (/ (pow v 4) (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 32/3 (/ (pow v 2) (* (pow (sqrt 2) 4) (pow PI 2)))) (+ (* 64 (/ (pow v 4) (* (pow (sqrt 2) 6) (pow PI 2)))) (* 16/3 (/ (pow v 4) (* (pow (sqrt 2) 2) (pow PI 2))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ 32/9 2) (* (/ v PI) (/ v PI))) (/ (/ 16/9 2) (* PI PI))) (+ (* (/ (pow v 4) (* PI PI)) (+ (/ 64 (pow (sqrt 2) 6)) (/ 16/3 2))) (+ (* (/ (pow v 4) (pow (sqrt 2) 4)) (/ 64/3 (* PI PI))) (/ (* 32/3 (* (/ v PI) (/ v PI))) (pow (sqrt 2) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (cbrt (* (+ (+ (* (/ 32/9 2) (* (/ v PI) (/ v PI))) (/ (/ 16/9 2) (* PI PI))) (+ (* (/ (pow v 4) (* PI PI)) (+ (/ 64 (pow (sqrt 2) 6)) (/ 16/3 2))) (+ (* (/ (pow v 4) (pow (sqrt 2) 4)) (/ 64/3 (* PI PI))) (/ (* 32/3 (* (/ v PI) (/ v PI))) (pow (sqrt 2) 4))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 290 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 16/9 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 16/3 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 6) (pow PI 2))))) (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 2) (pow PI 2)))))))) (+ (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 4) (pow PI 2))))) (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 4) (pow PI 2))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 64/9 (pow v 10)) (* (* PI PI) (pow (sqrt -6) 6))) (+ (/ (/ 16/3 (pow v 10)) (* -6 (* PI PI))) (/ (/ 32/9 (pow v 8)) (* -6 (* PI PI))))) (- (* (/ (/ 1 (* PI PI)) (pow (sqrt -6) 4)) (+ (/ 32/9 (pow v 8)) (/ 64/9 (pow v 10)))) (/ (/ 16/9 (pow v 6)) (* -6 (* PI PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (cbrt (* (- (+ (/ (/ 64/9 (pow v 10)) (* (* PI PI) (pow (sqrt -6) 6))) (+ (/ (/ 16/3 (pow v 10)) (* -6 (* PI PI))) (/ (/ 32/9 (pow v 8)) (* -6 (* PI PI))))) (- (* (/ (/ 1 (* PI PI)) (pow (sqrt -6) 4)) (+ (/ 32/9 (pow v 8)) (/ 64/9 (pow v 10)))) (/ (/ 16/9 (pow v 6)) (* -6 (* PI PI))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 291 / 300 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 16/9 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 16/3 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 2) (pow PI 2))))) (+ (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 6) (pow PI 2))))) (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 2) (pow PI 2)))))))) (+ (* 32/9 (/ 1 (* (pow v 8) (* (pow (sqrt -6) 4) (pow PI 2))))) (* 64/9 (/ 1 (* (pow v 10) (* (pow (sqrt -6) 4) (pow PI 2))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 64/9 (pow v 10)) (* (* PI PI) (pow (sqrt -6) 6))) (+ (/ (/ 16/3 (pow v 10)) (* -6 (* PI PI))) (/ (/ 32/9 (pow v 8)) (* -6 (* PI PI))))) (- (* (/ (/ 1 (* PI PI)) (pow (sqrt -6) 4)) (+ (/ 32/9 (pow v 8)) (/ 64/9 (pow v 10)))) (/ (/ 16/9 (pow v 6)) (* -6 (* PI PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (cbrt (* (- (+ (/ (/ 64/9 (pow v 10)) (* (* PI PI) (pow (sqrt -6) 6))) (+ (/ (/ 16/3 (pow v 10)) (* -6 (* PI PI))) (/ (/ 32/9 (pow v 8)) (* -6 (* PI PI))))) (- (* (/ (/ 1 (* PI PI)) (pow (sqrt -6) 4)) (+ (/ 32/9 (pow v 8)) (/ 64/9 (pow v 10)))) (/ (/ 16/9 (pow v 6)) (* -6 (* PI PI))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 292 / 300 ] 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 1 2 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 293 / 300 ] 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 1 2 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 294 / 300 ] 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 1 2 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 295 / 300 ] 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 1 1 2 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 296 / 300 ] 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 1 1 2 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 297 / 300 ] 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 1 1 2 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 298 / 300 ] 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 1 1 1 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 299 / 300 ] 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 1 1 1 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 300 / 300 ] 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 1 1 1 2 1 2) to (λ (v) (cbrt (* (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 (* (sqrt 2) PI))) into (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 (* (sqrt 2) PI))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 (* (sqrt 2) PI))) into (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 (* (sqrt 2) PI))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 (* (sqrt 2) PI))) into (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 (* (sqrt 2) PI))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (sqrt (/ 4/3 (* (sqrt 2) PI))) into (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4/3 (* (sqrt 2) PI))))) into 0 * [misc]backup-simplify: Simplify (* (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI))))) into (/ (pow (sqrt 4/3) 2) (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ (pow (sqrt 4/3) 2) (* (sqrt 2) PI)) into (/ (pow (sqrt 4/3) 2) (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) 0) (* 0 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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)))) (pow 0 2) (+)) (* 2 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))) into (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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)))) (pow 0 2) (+)) (* 2 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))) into (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI))))) (+ (* 0 0) (* (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI))))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* 2 (* 0 (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))))))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* 2 (* 0 (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))))))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) 0) (+ (* 0 (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI))))) (+ (* (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) 0) (* 0 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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))))) (pow (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))) into (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (+ (* 8/3 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 3) PI)))) (+ (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) (* (sqrt 2) PI)))) (* 4 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 5) PI))))))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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))))) (pow (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))))) into (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (+ (* 8/3 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 3) PI)))) (+ (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) (* (sqrt 2) PI)))) (* 4 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 5) PI))))))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) PI)))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (+ (* 8/3 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 3) PI)))) (+ (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) (* (sqrt 2) PI)))) (* 4 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 5) PI))))))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI))))) (+ (* 0 0) (+ (* (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) (* 1/2 (* (/ (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI))))) (+ (* 0 0) (* (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (+ (* 8/3 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 3) PI)))) (+ (* 4/9 (/ 1 (* (pow (sqrt 4/3) 2) (* (sqrt 2) PI)))) (* 4 (/ 1 (* (pow (sqrt 4/3) 2) (* (pow (sqrt 2) 5) PI))))))) (sqrt 4/3)) (sqrt (* (sqrt 2) PI)))) (* (sqrt 4/3) (sqrt (/ 1 (* (sqrt 2) 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))))) 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)) (/ (pow (sqrt 4/3) 2) (* (sqrt 2) PI)))) into (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (/ (pow (sqrt 4/3) 2) (* (sqrt 2) PI)) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (/ +nan.0 (* (sqrt -6) PI))) (* (/ +nan.0 (* (sqrt -6) PI)) 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (sqrt -6) PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (sqrt -6) PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 0 (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2)))) (+ (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (sqrt -6) PI))) (* (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) 0))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ 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)))) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ 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)))) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))))))) (+ (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2)))) (+ (* (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) (/ +nan.0 (* (sqrt -6) PI))) (* (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) 0)))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) 2) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) 2) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4)))))))))) (+ (* (/ +nan.0 (* (sqrt -6) PI)) (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))))))) (+ (* (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2)))) (+ (* (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) (/ +nan.0 (* (sqrt -6) PI))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) (pow (/ 1 v) 6)) (+ (* (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) (pow (/ 1 v) 5)) (* (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (pow (/ 1 v) 4)))) into (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 4) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 4))))) (- (* +nan.0 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) (pow PI 3)))))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 (* (sqrt -6) PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (/ +nan.0 (* (sqrt -6) PI))) (* (/ +nan.0 (* (sqrt -6) PI)) 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (sqrt -6) PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (sqrt -6) PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 0 (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2)))) (+ (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (sqrt -6) PI))) (* (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) 0))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ 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)))) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ 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)))) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))))))) (+ (* (/ +nan.0 (* (sqrt -6) PI)) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2)))) (+ (* (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) (/ +nan.0 (* (sqrt -6) PI))) (* (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) 0)))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) into (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) 2) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) 2) (+ (* 2 (* (/ +nan.0 (* (sqrt -6) PI)) (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4)))))))))) (+ (* (/ +nan.0 (* (sqrt -6) PI)) (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))))))) (+ (* (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2))) (/ +nan.0 (* (pow (sqrt -6) 2) (pow PI 2)))) (+ (* (* +nan.0 (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3)))))))) (/ +nan.0 (* (sqrt -6) PI))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) 0))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 4) (pow PI 4))))))))) (pow (/ 1 (- v)) 6)) (+ (* (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 3) (pow PI 3))))) (pow (/ 1 (- v)) 5)) (* (- (* +nan.0 (/ 1 (* (pow (sqrt -6) 2) (pow PI 2))))) (pow (/ 1 (- v)) 4)))) into (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 4) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 4))))) (- (* +nan.0 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) (pow PI 3)))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [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) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [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 (+ (* -1 0) (* 0 6)) 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 -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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -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 (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 (+ (* -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 1 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [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) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) 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 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [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 (+ (* -1 0) (* 0 6)) 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 -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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -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 (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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 (+ (* -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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 -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: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 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 in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [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 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (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 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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) in v * [misc]taylor: Taking taylor expansion of v in 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) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) 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 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) 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 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow 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 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 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)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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)) 6) 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 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) 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 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow 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 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (+ 1/2 1/2))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [misc]simplify: Simplified (2 2) to (λ (v) (pow (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (+ 1/2 1/2))) * * * * [misc]progress: [ 2 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (+ 1 1))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2) to (λ (v) (pow (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (+ 1 1))) * * * * [misc]progress: [ 3 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 1/2)) * * * * [misc]progress: [ 4 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 1)) * * * * [misc]progress: [ 5 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (+ 1 1))) * * * * [misc]progress: [ 7 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (log (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (log (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (log (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (log (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 9 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 3) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (pow (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 3))) * * * * [misc]progress: [ 12 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 15 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 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 (43 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 17 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* (sqrt (sqrt (- 2 (* v (* v 6))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (- 2 (* v (* v 6))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 18 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (* (cbrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (cbrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) (cbrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 20 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) (sqrt (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 21 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 22 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 23 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 24 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 25 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)))) (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 26 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 27 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1))) (sqrt (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 28 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 29 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 30 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 31 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)))) (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 32 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 33 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1))) (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 34 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 35 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 36 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 37 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 38 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 39 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 40 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 41 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 42 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 43 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 44 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 45 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 46 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 47 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 48 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 49 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 50 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 51 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1))) (sqrt (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 52 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 53 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 54 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 55 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 56 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 57 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 58 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 59 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 60 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 61 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 62 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 63 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 64 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 65 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 66 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 67 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 68 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 69 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 70 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (* (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 (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 71 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 72 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 73 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 74 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 75 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1))) (sqrt (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 76 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (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 (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 77 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 78 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 79 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 80 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 81 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) 1))) (sqrt (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 82 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 83 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 84 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 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 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 85 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 1) (sqrt 1)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 86 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 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 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 87 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 1) 1))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 88 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 89 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 90 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 91 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)))) (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 92 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 93 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1))) (sqrt (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 94 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 95 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 96 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 97 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)))) (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 98 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 99 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) 1))) (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 100 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (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 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 101 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 102 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 103 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 1) (sqrt 1)))) (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 104 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 105 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 1) 1))) (sqrt (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 106 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 107 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 1 (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 108 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 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 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 109 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 1 (sqrt 1)))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 110 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 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 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 111 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 1 1))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 112 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 113 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 114 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 115 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (sqrt 1)))) (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 116 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 117 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) 1))) (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 118 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 119 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 120 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 121 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)))) (sqrt (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 122 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 123 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1))) (sqrt (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 124 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (* v v)) (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 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))))) (sqrt (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 125 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [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 (41 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))))) (sqrt (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 126 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [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 (41 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 127 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)))) (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 128 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [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 (41 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 129 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1))) (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 130 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt 1)) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 131 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (/ 1 (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 132 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* v 6) (* 2 v)) (* 2 2))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3)))))) (sqrt (sqrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* v 6) (* 2 v)) (* 2 2))))))) * * * * [misc]progress: [ 133 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6)))))))) (sqrt (sqrt (+ 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 134 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 135 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) 1) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 136 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (cbrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (cbrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (cbrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) (* (cbrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 137 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (fabs (cbrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (cbrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 138 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 139 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (fabs (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 140 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 141 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 142 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (* (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 143 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 144 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (fabs (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (* (sqrt (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 145 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) (* (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 146 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v)))))) (* (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 147 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (* (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 148 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1))) (* (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 149 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (* (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 150 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (* (sqrt (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 151 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 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 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (fabs (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (fabs (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 152 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 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 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 153 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 154 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 155 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 156 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (fabs (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 157 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 1 (* v v)))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 158 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 159 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 160 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 161 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 162 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1)) * * [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 (62 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 163 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (fabs (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 164 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 165 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 166 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (cbrt (/ 4 (* 3 PI))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 167 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 168 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (fabs (cbrt (/ 4 (* 3 PI)))) (* (sqrt (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 169 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 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 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 170 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 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 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 171 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 172 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 173 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 174 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1)) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 175 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 176 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 177 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 178 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 179 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 180 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 181 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 182 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 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 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 183 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 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 (56 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 184 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 185 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 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 (56 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 186 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (sqrt (/ 4 (* 3 PI)))) (* (sqrt (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 187 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 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 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 188 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 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 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 189 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 190 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (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 (36 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 191 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 192 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (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 (sqrt (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 193 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (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 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 194 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 195 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 196 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (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) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 197 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 198 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (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 (sqrt (/ 1 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (sqrt (- 1 (* v v))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 199 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 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 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 200 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fabs (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (fabs (cbrt (- 2 (* v (* v 6))))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 201 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 202 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (sqrt 1))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 203 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 204 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt 1) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 205 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* (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 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 206 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 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 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 207 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 208 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 209 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 210 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 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 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 211 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt (- 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 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 212 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt (- 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 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 213 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 214 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 215 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 216 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) 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 (sqrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (sqrt (- 1 (* v v))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 217 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 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 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 218 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (fabs (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (fabs (cbrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 219 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [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 (41 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 220 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 1) (sqrt 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (sqrt 1))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 221 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [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 (41 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 222 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 1) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt 4) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt 4) (* (sqrt (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 223 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 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 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 224 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fabs (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (fabs (cbrt (- 2 (* (* v v) 6)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 225 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 226 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (sqrt 1))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 227 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 228 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt 1) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 229 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (* (sqrt (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 230 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* v (* 6 v))))))) (* (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 231 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (* (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 232 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 PI) (* (sqrt 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 PI) (* (sqrt 1) 3))) (* (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 233 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v))))))) (* (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 234 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (* (sqrt (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 235 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 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 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* 3 PI)) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (* (- 1 (* (pow v 3) (pow v 3))) (* 3 PI)) (cbrt (sqrt (- 2 (* (* v 6) v))))))) (* (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 236 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 237 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 238 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* (* 3 PI) (sqrt 1))) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* (* 3 PI) (sqrt 1))) (- 1 (pow (* v v) 3)))) (* (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 239 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 240 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3))))) (* (sqrt (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 241 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (* (- 1 (* (* v v) (* v v))) (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (* (- 1 (* (* v v) (* v v))) (* 3 PI))))) (* (sqrt (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 242 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 243 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 244 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v))))) (* (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 245 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v)))))) (* (sqrt (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 246 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (* (sqrt (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 247 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt 1) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 248 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 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 (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 249 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3))))) (* (sqrt (sqrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 250 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (* (- 2 (* (* 6 v) v)) (+ 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (* (- 2 (* (* 6 v) v)) (+ 2 (* (* 6 v) v)))))) (* (sqrt (sqrt (+ 2 (* v (* v 6))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 251 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (* (sqrt (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 252 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 253 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 254 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ (/ 4 PI) (* 3 (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (sqrt (/ (/ (/ 4 PI) (* 3 (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 255 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 257 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 258 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 260 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 261 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 262 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 263 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 264 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 265 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 266 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 267 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 268 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 269 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 270 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 271 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 272 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 273 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 274 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 275 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 276 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (exp (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 277 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 278 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 279 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 280 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 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 (50 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (cbrt (/ (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 281 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 282 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 283 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 284 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 285 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 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 (71 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 286 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 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 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 287 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (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 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 288 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 289 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (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 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 290 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 291 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 292 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 293 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 294 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 295 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 296 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 297 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 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 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (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 (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 298 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 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 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 299 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 300 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 301 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 302 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (287 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (/ (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 6) v)))))))) * * * * [misc]progress: [ 303 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (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 (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 304 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 305 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 306 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 307 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 308 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 309 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 310 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 311 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 312 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 313 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 314 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 315 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (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 (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 316 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 317 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 318 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 319 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 320 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 321 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 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 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (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 (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 322 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 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 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 323 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 324 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 325 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 326 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 327 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 328 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 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 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 329 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 330 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 331 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 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 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 332 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 333 / 434 ] 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 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 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 (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 334 / 434 ] 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 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 335 / 434 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 336 / 434 ] 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 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 337 / 434 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 338 / 434 ] 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 339 / 434 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 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 (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 340 / 434 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 341 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 342 / 434 ] 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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 343 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 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 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 344 / 434 ] 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 345 / 434 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (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 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 346 / 434 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 347 / 434 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 348 / 434 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 349 / 434 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 350 / 434 ] 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 351 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 352 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 353 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 354 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 355 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 356 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 357 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 358 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 359 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 360 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 361 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 362 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (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 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 363 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 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 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 364 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 365 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* 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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 366 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 367 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [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 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* 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 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 368 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 369 / 434 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (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 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 370 / 434 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 371 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 372 / 434 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 373 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 374 / 434 ] 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 375 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 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 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 376 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 377 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 378 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 3) (sqrt 1)) 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 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 379 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 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 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 380 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 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 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 381 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 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 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 382 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 383 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 384 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 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 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 385 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 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 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 386 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 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 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 387 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* 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 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 388 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* 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 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 389 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 390 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 391 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 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 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 392 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 393 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 394 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 395 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 396 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 397 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 398 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 399 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 400 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 401 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 402 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))))) * * * * [misc]progress: [ 403 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))))) * * * * [misc]progress: [ 404 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 405 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 406 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))))) * * * * [misc]progress: [ 407 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 408 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 409 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (sqrt (/ 4 (* 3 PI))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))))) * * * * [misc]progress: [ 410 / 434 ] 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 411 / 434 ] 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 412 / 434 ] 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 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 1 (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 413 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 414 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (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 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 415 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ 4 (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 416 / 434 ] simplifiying candidate # * * * * [misc]progress: [ 417 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* 3 PI)) (/ (sqrt (- 2 (* v (* v 6)))) (/ 1 (- 1 (* v v)))))))) * * * * [misc]progress: [ 418 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (- 2 (* v (* v 6)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))))) * * * * [misc]progress: [ 419 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (+ 1 (* v v))))))) * * * * [misc]progress: [ 420 / 434 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3)))) (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))))))) * * * * [misc]progress: [ 421 / 434 ] 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 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6)))))) (sqrt (+ 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 422 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ 4 (* 3 PI)) (* (sqrt (- 2 (* v (* v 6)))) (- 1 (* v v))))))) * * * * [misc]progress: [ 423 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (/ (pow (sqrt 4/3) 2) (* (sqrt 2) PI)) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (pow v 4) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2)))) (* (/ (* 4 v) (sqrt 2)) (/ v (* PI 2)))) (+ (+ (/ (/ 4/3 PI) (sqrt 2)) (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5))) (* (/ 4/3 (sqrt 2)) (/ v (/ PI v))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (* (/ (pow v 4) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2)))) (* (/ (* 4 v) (sqrt 2)) (/ v (* PI 2)))) (+ (+ (/ (/ 4/3 PI) (sqrt 2)) (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5))) (* (/ 4/3 (sqrt 2)) (/ v (/ PI v)))))) * * * * [misc]progress: [ 424 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 4) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 4))))) (- (* +nan.0 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) (pow PI 3)))))))))))))) * [misc]simplify: Simplified (2) to (λ (v) +nan.0) * * * * [misc]progress: [ 425 / 434 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 4) (* (pow (sqrt -6) 2) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 2))))) (- (+ (* +nan.0 (/ 1 (* (pow v 6) (* (pow (sqrt -6) 4) (pow PI 4))))) (- (* +nan.0 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) (pow PI 3)))))))))))))) * [misc]simplify: Simplified (2) to (λ (v) +nan.0) * * * * [misc]progress: [ 426 / 434 ] 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 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 427 / 434 ] 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 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 428 / 434 ] 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 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 429 / 434 ] 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 1 1 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 430 / 434 ] 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 1 1 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 431 / 434 ] 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 1 1 2 1 2) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 432 / 434 ] 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 (264 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2)))))))) * * * * [misc]progress: [ 433 / 434 ] 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 (294 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 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))))))) * * * * [misc]progress: [ 434 / 434 ] 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 (296 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 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))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) (sqrt (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 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)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 1 branch expressions: (v) * * * * [misc]regimes: Trying to branch on v from (# #) * * * [misc]regime: Found split indices: #