* [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 148 additional inputs, on iter 1 have 108 / 256 * * * * [misc]points: Computing exacts on every 9 of 148 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 148 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 148 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 148 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 67 additional inputs, on iter 2 have 189 / 256 * * * * [misc]points: Computing exacts on every 4 of 67 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 67 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 67 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 35 additional inputs, on iter 3 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 4 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 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 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [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 (* (* 6 v) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 1) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) 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 (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) 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 (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4/3 (* PI (sqrt 2))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 1) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (pow v 2)) (/ 4/3 (* PI (sqrt 2))))) into (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) 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 (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) 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 (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 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 (+ (* 6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 1) (* 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v))) (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3)))) (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (296 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 (* (* 6 v) v))))) * * * * [misc]progress: [ 12 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 15 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 20 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 21 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (38 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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 22 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 23 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 24 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 25 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 26 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 27 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (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 (* (* 6 v) v))))) * [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 (160 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 28 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 29 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 30 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (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 (* (* 6 v) v))))) * [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 (* (* 6 v) v))))) * * * * [misc]progress: [ 31 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 35 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 36 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 37 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 38 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 39 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 42 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 43 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (447 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 46 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * * [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 (310 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: [ 47 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* (* 6 v) v))) (sqrt (- 2 (* (* 6 v) v)))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* 6 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 50 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* (* 6 v) v))) (sqrt (- 2 (* (* 6 v) v)))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (157 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))) (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (- 2 (* (* 6 v) v))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 51 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (191 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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 56 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) * [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 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (191 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 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 57 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 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 (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (191 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 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 58 / 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)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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: [ 59 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 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 (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (191 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 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 60 / 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 (115 enodes) * * [misc]simplify: iters left: 1 (186 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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: [ 61 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (191 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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 62 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (192 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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [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 (191 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: [ 63 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (191 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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (191 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 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 64 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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: [ 65 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (191 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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (191 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 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 66 / 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 (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 (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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: [ 67 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (271 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v 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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 68 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (149 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 (* 6 (* 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))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v 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 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 69 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* 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 (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v 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 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 70 / 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 (139 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (sqrt 1) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (sqrt 1) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v 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 (* 6 (* v v))))))) * * * * [misc]progress: [ 71 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* 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 (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v 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 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 72 / 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 (284 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* 6 (* v 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 (* 6 (* v v))))))) * * * * [misc]progress: [ 73 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (* (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) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 74 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 75 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 76 / 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)) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v 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 (* 6 (* v v))))))) * * * * [misc]progress: [ 77 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 78 / 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 (63 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 79 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (268 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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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 (* 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 (* (* 6 v) v))))))) * * * * [misc]progress: [ 80 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 81 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 82 / 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 (118 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (147 enodes) * * [misc]simplify: iters left: 1 (198 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))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 83 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 84 / 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 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (147 enodes) * * [misc]simplify: iters left: 1 (198 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))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 85 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 86 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v 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 (* 6 (* v v)))))))) * * * * [misc]progress: [ 87 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 88 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* 6 (* v 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 (* 6 (* v v))))))) * * * * [misc]progress: [ 89 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 90 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* 6 (* v 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 (* 6 (* v v))))))) * * * * [misc]progress: [ 91 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 92 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 93 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 94 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* 6 (* v 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 (* 6 (* v v))))))) * * * * [misc]progress: [ 95 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 96 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* 6 (* v 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 (* 6 (* v v))))))) * * * * [misc]progress: [ 97 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (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 (* 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 (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 98 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (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 v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 99 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 100 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (147 enodes) * * [misc]simplify: iters left: 1 (198 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))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 101 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 102 / 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) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (147 enodes) * * [misc]simplify: iters left: 1 (198 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))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 103 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (- 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) (* (/ (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 104 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 105 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 106 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 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: [ 107 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 108 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 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: [ 109 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 110 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 111 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 112 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 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: [ 113 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 114 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 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: [ 115 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 116 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 117 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 118 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 119 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 120 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 121 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (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) (* (/ (/ 4 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 122 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 123 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 124 / 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 (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (148 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: [ 125 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 126 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (148 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: [ 127 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 128 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [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: [ 129 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* (* 6 v) v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 130 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (148 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: [ 131 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* (* 6 v) v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 132 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (148 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: [ 133 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [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 (* 6 (* v v)))))))) * * * * [misc]progress: [ 134 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 135 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 136 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 137 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 138 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 139 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 140 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 141 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 142 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 143 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 144 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 145 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (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 v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (138 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 146 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (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 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [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 (138 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 147 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (138 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 148 / 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 PI) (sqrt 1)) 3) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) (sqrt 1)) 3) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 (138 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 149 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (138 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 150 / 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 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (138 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 151 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (* (- 1 (pow (* v v) 3)) (* 3 PI)) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (* (- 1 (pow (* v v) 3)) (* 3 PI)) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (* (- 1 (pow (* v v) 3)) (* 3 PI)) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 152 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 153 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 154 / 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 (483 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (* (sqrt 1) 3)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) (* (sqrt 1) 3)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 155 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 156 / 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 (336 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 157 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 158 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 159 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 160 / 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 (134 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (* 3 (sqrt 1))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) (* 3 (sqrt 1))) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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 PI) (* 3 (sqrt 1))) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 161 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 162 / 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 (111 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (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: [ 163 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 164 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 167 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 168 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 169 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* (* 6 v) v))) * * [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 (* v (* v 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 170 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 171 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* (* 6 v) v))) * * [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 (* v (* v 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 172 / 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 (164 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 (* (* 6 v) v))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 173 / 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 (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 (- 2 (* (* 6 v) v))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 174 / 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 (* (* 6 v) v))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 175 / 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 (* (* 6 v) v))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 176 / 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 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (sqrt (- 2 (* (* 6 v) v))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 177 / 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 (* (* 6 v) v))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 178 / 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 (* (* 6 v) v))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 179 / 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 (* (* 6 v) v))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 180 / 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 (* (* 6 v) v))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 181 / 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 (* (* 6 v) v))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 182 / 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 (* (* 6 v) v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 183 / 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 (* (* 6 v) v))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 184 / 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 (* (* 6 v) v))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 185 / 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 (* (* 6 v) v))) (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 186 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 187 / 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 (* (* 6 v) v))) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 188 / 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 (98 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (463 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (- 2 (* (* 6 v) v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 189 / 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 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (+ 1 (* v v))))) * * * * [misc]progress: [ 190 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* (* 6 v) v) (* (* 6 v) v)) (* 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* 2 2) (* (* v 2) (* 6 v))) (* (* 6 (* v v)) (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) (sqrt (+ (+ (* 2 2) (* (* v 2) (* 6 v))) (* (* 6 (* v v)) (* 6 (* v v))))))) * * * * [misc]progress: [ 191 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* (* 6 v) v))) * * [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 (+ (* v (* v 6)) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* (* 6 v) v) (* (* 6 v) v))))) (sqrt (+ (* v (* v 6)) 2)))) * * * * [misc]progress: [ 192 / 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 (* (* 6 v) v))) (- 1 (* v v))))) * * * * [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 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))) * * [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 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (fabs (cbrt (- 2 (* (* v v) 6)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 200 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt (sqrt (- 2 (* v (* v 6))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [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 (* (* 6 v) v)))))) * * * * [misc]progress: [ 202 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (289 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) (+ (* (* (* 6 v) v) (* (* 6 v) v)) (* 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 203 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 2 2) (* (* (* 6 v) v) (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (sqrt (* (- 2 (* (* v v) 6)) (+ 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (* (- 2 (* (* v v) 6)) (+ 2 (* (* v v) 6)))) (sqrt (+ 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 204 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 205 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* (* 6 v) v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (fabs (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 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 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 (122 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (+ (* (/ 4/3 PI) (+ (pow v 4) (* v v))) (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (/ 4/3 PI) (+ (pow v 4) (* v v))) (/ 4/3 PI)) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 211 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 212 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 213 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ 4/3 PI) (/ (* v v) (sqrt 2))) (* (/ (/ 4 2) (sqrt 2)) (* (/ v PI) v))) (+ (* (/ (pow v 4) PI) (+ (/ 4/3 (sqrt 2)) (/ (/ 4 2) (sqrt 2)))) (+ (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5)) (/ (/ 4/3 PI) (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (* (/ 4/3 PI) (/ (* v v) (sqrt 2))) (* (/ (/ 4 2) (sqrt 2)) (* (/ v PI) v))) (+ (* (/ (pow v 4) PI) (+ (/ 4/3 (sqrt 2)) (/ (/ 4 2) (sqrt 2)))) (+ (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5)) (/ (/ 4/3 PI) (sqrt 2)))))) * * * * [misc]progress: [ 214 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1 -6) (sqrt -6)) (+ (/ (/ 4/3 PI) (pow v 5)) (/ (/ 4/3 PI) (pow v 7)))) (+ (+ (/ (/ (/ 4/3 PI) (sqrt -6)) (pow v 5)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5))) (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ 1 (pow v 7)) (/ (/ 1 v) (* v v)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (* (/ (/ 1 -6) (sqrt -6)) (+ (/ (/ 4/3 PI) (pow v 5)) (/ (/ 4/3 PI) (pow v 7)))) (+ (+ (/ (/ (/ 4/3 PI) (sqrt -6)) (pow v 5)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5))) (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ 1 (pow v 7)) (/ (/ 1 v) (* v v))))))) * * * * [misc]progress: [ 215 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ (/ 1 v) (* v v)) (/ 1 (pow v 5)))) (+ (/ (/ (/ 4/3 PI) (pow v 7)) (sqrt -6)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5)))) (* (/ (/ 4/3 -6) (sqrt -6)) (+ (/ (/ 1 PI) (pow v 5)) (/ (/ 1 PI) (pow v 7))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ (/ 1 v) (* v v)) (/ 1 (pow v 5)))) (+ (/ (/ (/ 4/3 PI) (pow v 7)) (sqrt -6)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5)))) (* (/ (/ 4/3 -6) (sqrt -6)) (+ (/ (/ 1 PI) (pow v 5)) (/ (/ 1 PI) (pow v 7)))))) * * * * [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) (+ (* (* v 3) (/ v (sqrt 2))) (/ (/ (pow v 4) 2) (/ (sqrt 2) 9/2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (sqrt 2) (+ (* (* v 3) (/ v (sqrt 2))) (/ (/ (pow v 4) 2) (/ (sqrt 2) 9/2)))))) * * * * [misc]progress: [ 217 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v))) (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 (sqrt -6)) v) (/ (/ (/ 1/2 v) (* v v)) (* (sqrt -6) -6))) (* v (sqrt -6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (+ (- (/ (/ 1 (sqrt -6)) v) (/ (/ (/ 1/2 v) (* v v)) (* (sqrt -6) -6))) (* v (sqrt -6))))) * * * * [misc]progress: [ 218 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow (sqrt -6) 3) (pow v 3)))) (+ (* (sqrt -6) v) (/ 1 (* (sqrt -6) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 -6) (* v v)) (* (sqrt -6) v)) (+ (* (sqrt -6) v) (/ (/ 1 (sqrt -6)) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (/ (/ (/ 1/2 -6) (* v v)) (* (sqrt -6) v)) (+ (* (sqrt -6) v) (/ (/ 1 (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 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* 6 v) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 1) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (exp (/ 4/3 PI)) into (exp (/ 4/3 PI)) * [misc]backup-simplify: Simplify (log (exp (/ 4/3 PI))) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (exp (/ 4/3 PI)) into (exp (/ 4/3 PI)) * [misc]backup-simplify: Simplify (log (exp (/ 4/3 PI))) 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 (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 4/3 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ 1 PI)) 1) 1)))) into (* 4/3 (/ (exp (/ 4/3 PI)) PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 4/3 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 1)) (pow (exp (/ 4/3 PI)) 1)))) 2) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 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 (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 4/3 (/ 1 PI)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 4/3 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 1)) (pow (exp (/ 4/3 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 4/3 PI)) 1)))) 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 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 (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 4/3 (/ 1 PI)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/3 (/ 1 PI)) 2) 2)) (* (/ (pow (* 4/3 (/ 1 PI)) 1) 1)))) into (* (+ (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) (exp (/ 4/3 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 4/3 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 1)) (pow (exp (/ 4/3 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 2)) (pow (exp (/ 4/3 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 4/3 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* (+ (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) (exp (/ 4/3 PI)))) 1)) (pow (exp (/ 4/3 PI)) 1)))) 24) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -4/3 PI) 1) 1)))) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 1)))) 2) 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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 1)))) 24) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 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 (- (+ (* 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 (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) 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 (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 2) 2) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 3) 6)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3)))))) 1)) (pow 1 1)))) 720) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (pow (/ 1 v) 6)) (+ (* (/ -4/3 PI) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * [misc]approximate: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -4/3 PI) 1) 1)))) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 1)))) 2) 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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 1)))) 24) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) 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 (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 2) 2) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 3) 6)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3)))))) 1)) (pow 1 1)))) 720) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ -4/3 PI) (pow (/ 1 (- v)) 6)) (+ (* (/ -4/3 PI) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))) in v * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (exp (/ 4/3 PI)) into (exp (/ 4/3 PI)) * [misc]backup-simplify: Simplify (log (exp (/ 4/3 PI))) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) 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 (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))) in v * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (exp (/ 4/3 PI)) into (exp (/ 4/3 PI)) * [misc]backup-simplify: Simplify (log (exp (/ 4/3 PI))) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v 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 (* 6 0) 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 (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4/3 (* PI (sqrt 2))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 4/3 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ 1 PI)) 1) 1)))) into (* 4/3 (/ (exp (/ 4/3 PI)) PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 4/3 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 1)) (pow (exp (/ 4/3 PI)) 1)))) 2) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 1) (* 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 PI) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 4/3 (/ 1 PI)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 4/3 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 1)) (pow (exp (/ 4/3 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 4/3 PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* (exp (/ 4/3 PI)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 4/3 (/ 1 PI)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/3 (/ 1 PI)) 2) 2)) (* (/ (pow (* 4/3 (/ 1 PI)) 1) 1)))) into (* (+ (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) (exp (/ 4/3 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 4/3 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 1)) (pow (exp (/ 4/3 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ (exp (/ 4/3 PI)) PI))) 2)) (pow (exp (/ 4/3 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 4/3 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* (+ (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) (exp (/ 4/3 PI)))) 1)) (pow (exp (/ 4/3 PI)) 1)))) 24) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (/ 4/3 PI) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (pow v 2)) (/ 4/3 (* PI (sqrt 2))))) into (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * [misc]approximate: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -4/3 PI) 1) 1)))) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 1)))) 2) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -4/3 PI) 1) 1)))) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 1)))) 2) into (/ -4/3 PI) * [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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 1)))) 24) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (/ -4/3 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 (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 2) 2) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 3) 6)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3)))))) 1)) (pow 1 1)))) 720) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (/ -4/3 PI) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * [misc]approximate: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -4/3 PI) 1) 1)))) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 1)))) 2) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (log (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (exp (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) 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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -4/3 PI) 1) 1)))) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 1)))) 2) into (/ -4/3 PI) * [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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 1)))) 24) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (/ -4/3 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 (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow (/ -4/3 PI) 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow (/ -4/3 PI) 2) 2)) (* (/ (pow 0 2) 2) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow (/ -4/3 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -4/3 PI) 3) 6)) (* (/ (pow (/ -4/3 PI) 1) 1) (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 4/3 (/ 1 PI))) 1) 1)))) into (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 (/ -4/3 PI)) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ -4/3 PI)) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ -4/3 PI)) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (/ -4/3 PI)) 1) 1 (pow (* 24 (- (* 8/9 (/ 1 (pow PI 2))) (* 4/3 (/ 1 PI)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (- (* 16/9 (/ 1 (pow PI 2))) (+ (* 4/3 (/ 1 PI)) (* 32/81 (/ 1 (pow PI 3)))))) 1)) (pow 1 1)))) 720) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (/ -4/3 PI) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (log (* (cbrt (exp (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (exp (/ (/ 4 (* 3 PI)) (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (+ (log (* (cbrt (exp (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (exp (/ (/ 4 (* 3 PI)) (- 1 (* v v))))))) (log (cbrt (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 11 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [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 (170 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (+ (log (sqrt (exp (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (log (sqrt (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 12 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (+ (log 1) (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 13 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 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 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 15 / 259 ] 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 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 16 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 17 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 18 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 19 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 20 / 259 ] 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)))) (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 21 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (log (exp (/ (sqrt (/ 4 (* PI 3))) 1)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 22 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 23 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (log (exp (/ 1 (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 24 / 259 ] 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 (160 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (log (exp (/ 1 1)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 25 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 26 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (log (exp (/ 4 (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 27 / 259 ] simplifiying candidate # * [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 1) to (λ (v) (/ (* (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (log (exp (/ 4 1)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 28 / 259 ] 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 (160 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (log (exp 1))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 29 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (- 1 (* v v))) (log (exp (/ 4 (* PI 3))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 30 / 259 ] 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 (89 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 31 / 259 ] 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 1) to (λ (v) (/ (* (+ 1 (* v v)) (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 32 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 259 ] 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 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 34 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 259 ] 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 (147 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (log (exp (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 42 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 45 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (* (/ (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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (/ (* (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 50 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 51 / 259 ] 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 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (log (exp (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 52 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 53 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 1 2) to (λ (v) (/ (log (exp (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 54 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 55 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 56 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 57 / 259 ] 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 1) to (λ (v) (/ (log (exp (* 1 (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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 (160 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (log (exp (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 58 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 59 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 60 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (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 1 1 2) to (λ (v) (/ (log (exp (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 61 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 259 ] 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 1 1 2) to (λ (v) (/ (log (exp (/ (/ (/ 4 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 65 / 259 ] 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 1 1 2) to (λ (v) (/ (log (exp (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 66 / 259 ] 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 1 1 2) to (λ (v) (/ (log (exp (/ (/ (/ 4 (* PI 3)) 1) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 67 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 68 / 259 ] 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 1 1) to (λ (v) (/ (log (exp (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 69 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 259 ] 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 (89 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (log (exp (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 72 / 259 ] 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 1 1 2) to (λ (v) (/ (log (exp (* (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 73 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (log (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (233 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: [ 76 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (* (* (sqrt (- 2 (* (* 6 v) v))) (sqrt (- 2 (* (* 6 v) v)))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) (/ (- 2 (* (* 6 v) v)) (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) (/ (- 2 (* (* 6 v) v)) (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 79 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 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)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 84 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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: [ 85 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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 / 259 ] 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)) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (256 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: [ 87 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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: [ 88 / 259 ] 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 (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (256 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: [ 89 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (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 (/ (/ (cbrt (/ (/ 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) (* (/ (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (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 (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 90 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (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 (192 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (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)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 91 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (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 (191 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (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)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 92 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 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 (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 93 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (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 (191 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (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)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 94 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 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 (163 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 95 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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)))))) (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (192 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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 96 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (192 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)))))) (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (192 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: [ 97 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (191 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)))))) (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (192 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 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 98 / 259 ] 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)) (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ 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: [ 99 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (191 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)))))) (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (192 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 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 100 / 259 ] 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 (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)))) (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ (/ 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: [ 101 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (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 (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 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 (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (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 (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 102 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (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)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 103 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (193 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) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 104 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 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 (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (cbrt (- 1 (* v v)))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt 1)) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 105 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (193 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) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 106 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 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 (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v 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)))) (sqrt (- 2 (* v (* 6 v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 107 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (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 (/ (/ (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))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 108 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (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))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 109 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 110 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 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 (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 111 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 112 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 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 (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 113 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 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) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 114 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 115 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 116 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 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 (35 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- (sqrt 1) (* (sqrt 1) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (- (sqrt 1) (* (sqrt 1) (* v v)))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt 1)) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 117 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 118 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 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 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 119 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (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))) (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 (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 120 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (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)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 121 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (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) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 122 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 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)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (cbrt (- 1 (* v v)))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 123 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (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) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 124 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 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))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 125 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 126 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 127 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 128 / 259 ] 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)))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))) * [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 v) 6)))))) * * * * [misc]progress: [ 129 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 130 / 259 ] 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)))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))) * [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 v) 6)))))) * * * * [misc]progress: [ 131 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (400 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)))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 132 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (173 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))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (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))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 133 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 134 / 259 ] 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 (35 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (171 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)))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (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))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 135 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (148 enodes) * * [misc]simplify: iters left: 1 (183 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))))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 136 / 259 ] 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 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 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))) (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (sqrt (/ 4 (* PI 3))) 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 137 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 138 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (83 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)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 139 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (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) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (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) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 140 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt 1)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (sqrt 1)) (cbrt (- 1 (* v v)))) (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (- 2 (* (* v v) 6))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt 1)) (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (- 2 (* (* v v) 6))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 141 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (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) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (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) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 142 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) 3) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) 3) (cbrt (- 1 (* v v)))) (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (- 2 (* (* v v) 6))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 PI) 3) (cbrt (- 1 (* v v)))) (/ (/ 1 (cbrt (- 1 (* v v)))) (* (sqrt (- 2 (* (* v v) 6))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 143 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 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) (* (/ (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 144 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (83 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)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 145 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (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) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 146 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 147 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (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) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 148 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) 3) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) 3) (sqrt (- 1 (* v v)))) (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 PI) 3) (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 149 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (- (* 3 PI) (* (* 3 PI) (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (- (* 3 PI) (* (* 3 PI) (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (log (exp (/ 1 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 150 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (- 1 (* v v))) (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (- 1 (* v v))) (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ 1 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (- 1 (* v v))) (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ 1 (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 151 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ 1 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 152 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (sqrt 1)) (- 3 (* v (* v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) (sqrt 1)) (- 3 (* v (* v 3)))) (/ (log (exp (/ 1 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (/ 1 (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 153 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ 1 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 154 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (272 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))) (/ (log (exp (/ 1 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 1 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ 1 (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 155 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (* (cbrt (- 1 (* v v))) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (* (cbrt (- 1 (* v v))) 3))) (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 156 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 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)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 157 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (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) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 158 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) (sqrt 1)) 3) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 1 PI) (sqrt 1)) 3) (cbrt (- 1 (* v v)))) (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt 1)) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 159 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (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) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 160 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 161 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (* (sqrt (- 1 (* v v))) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 PI) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (* (sqrt (- 1 (* v v))) 3))) (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 162 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 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)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 163 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 164 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 PI) (sqrt 1)) 3) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 1 PI) (sqrt 1)) 3) (sqrt (- 1 (* v v)))) (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 165 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 166 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 167 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 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) (* (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (log (exp (/ 4 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 1))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 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 (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ 4 (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 168 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 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 (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ 4 (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 169 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 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 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ 4 (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 170 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (/ 1 (* (- 1 (* v v)) (* (sqrt 1) (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (- 1 (* v v)) (* (sqrt 1) (* 3 PI)))) (/ (log (exp (/ 4 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ 4 (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (/ 4 (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 171 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ 4 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 1))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 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 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ 4 (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 172 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (/ (log (exp (/ 4 1))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 1))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (/ 4 (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (/ 4 (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 173 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (- (* 3 PI) (* (* 3 PI) (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (- (* 3 PI) (* (* 3 PI) (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (log (exp 1)) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp 1)) (cbrt (sqrt (- 2 (* (* 6 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 (41 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 174 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (- 1 (* v v))) (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (- 1 (* v v))) (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (log (exp 1)) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp 1)) (sqrt (cbrt (- 2 (* (* 6 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 (41 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (- 1 (* v v))) (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ 1 (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 175 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp 1)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp 1)) (sqrt (sqrt (- 2 (* (* 6 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 (41 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 176 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (sqrt 1)) (- 3 (* v (* v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) (sqrt 1)) (- 3 (* v (* v 3)))) (/ (log (exp 1)) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp 1)) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (/ 1 (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 177 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp 1)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp 1)) (sqrt (sqrt (- 2 (* (* 6 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 (41 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ 1 (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 178 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (272 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))) (/ (log (exp 1)) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp 1)) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ 1 (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 179 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ 4 (* PI 3)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* PI 3)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ 4 (* 3 PI)) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 180 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ 4 (* PI 3)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* PI 3)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ 4 (* 3 PI)) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 181 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (138 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 182 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt 1)) (- 1 (* v v))) (/ (log (exp (/ 4 (* PI 3)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* PI 3)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (sqrt 1)) (/ (/ 4 (* 3 PI)) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 183 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (138 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 184 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (- 1 (* v v))) (/ (log (exp (/ 4 (* PI 3)))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ 4 (* PI 3)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 185 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 186 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 187 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 188 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt 1)) (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 189 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 190 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 191 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [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 (/ (+ 1 (* v v)) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ 1 (* v v)) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ 1 (* v v)) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 192 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [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 (/ (+ 1 (* v v)) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ 1 (* v v)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ 1 (* v v)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 193 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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) to (λ (v) (* (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 194 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (+ 1 (* v v)) (sqrt 1)) (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ 1 (* v v)) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 195 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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) to (λ (v) (* (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 196 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (* v v)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (+ 1 (* v v)) (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (+ 1 (* v v)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 197 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 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 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 198 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [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 (83 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [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 (* (* 6 v) v))))) (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 199 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 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 (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 200 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 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 (54 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (180 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (196 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)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 201 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 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 (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 202 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) 1) * * [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 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (194 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (196 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: [ 203 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (202 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 204 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (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 (199 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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: [ 205 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 206 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 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 (171 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (196 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 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 207 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 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 (198 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 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 208 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (171 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 (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v)))) * * [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 (196 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: [ 209 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 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)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 210 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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: [ 211 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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: [ 212 / 259 ] 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)) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (256 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: [ 213 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [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 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (257 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: [ 214 / 259 ] 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 (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (256 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: [ 215 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 216 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 217 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 218 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 219 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 220 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 221 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* (* 6 v) v))) * * [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 (* v (* v 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 222 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* (* 6 v) v)))) * * [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 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (sqrt (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 223 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* (* 6 v) v))) * * [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 (* v (* v 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 224 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 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 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))))))) * * * * [misc]progress: [ 226 / 259 ] 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 (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 (- 2 (* (* 6 v) v))) (log (exp (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))))) * * * * [misc]progress: [ 227 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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) to (λ (v) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))))) * * * * [misc]progress: [ 228 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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) to (λ (v) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 229 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)))))) * * * * [misc]progress: [ 230 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))))) * * * * [misc]progress: [ 231 / 259 ] 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 (* (* 6 v) v))) (log (exp (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 232 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ (sqrt (/ 4 (* PI 3))) 1)))))) * * * * [misc]progress: [ 233 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))))) * * * * [misc]progress: [ 234 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ 1 (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 235 / 259 ] 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 (160 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 (* (* 6 v) v))) (log (exp (/ 1 1)))))) * * * * [misc]progress: [ 236 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))))))) * * * * [misc]progress: [ 237 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ 4 (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 238 / 259 ] simplifiying candidate # * [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) to (λ (v) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ 4 1)))))) * * * * [misc]progress: [ 239 / 259 ] 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 (160 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 (* (* 6 v) v))) (log (exp 1))))) * * * * [misc]progress: [ 240 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 (- 1 (* v v))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ 4 (* PI 3))))))) * * * * [misc]progress: [ 241 / 259 ] 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 (89 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) (+ 1 (* v v))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (* v v) (* v v)) (+ 1 (* v v))) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))))))) * * * * [misc]progress: [ 242 / 259 ] 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) to (λ (v) (/ (+ 1 (* v v)) (/ (sqrt (- 2 (* (* 6 v) v))) (log (exp (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))))))) * * * * [misc]progress: [ 243 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * [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 (171 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 (* (* 6 v) v))) (cbrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))))) * * * * [misc]progress: [ 244 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [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 (170 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* (* 6 v) v))) (sqrt (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))))))) * * * * [misc]progress: [ 245 / 259 ] simplifiying candidate # * * * * [misc]progress: [ 246 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* (* 6 v) v) (* (* 6 v) v)) (* 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* 2 2) (* (* v 2) (* 6 v))) (* (* 6 (* v v)) (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) (sqrt (+ (+ (* 2 2) (* (* v 2) (* 6 v))) (* (* 6 (* v v)) (* 6 (* v v))))))) * * * * [misc]progress: [ 247 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* (* 6 v) v))) * * [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 (+ (* v (* v 6)) 2)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- (* 2 2) (* (* (* 6 v) v) (* (* 6 v) v))))) (sqrt (+ (* v (* v 6)) 2)))) * * * * [misc]progress: [ 248 / 259 ] 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) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 249 / 259 ] 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) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 250 / 259 ] 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) (/ (log (exp (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 251 / 259 ] 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 (122 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (+ (* (/ 4/3 PI) (+ (pow v 4) (* v v))) (/ 4/3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (* (/ 4/3 PI) (+ (pow v 4) (* v v))) (/ 4/3 PI)) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 252 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 253 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 254 / 259 ] 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 (122 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (+ (* (/ 4/3 PI) (+ (pow v 4) (* v v))) (/ 4/3 PI)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (log (exp (+ (* (/ 4/3 PI) (+ (pow v 4) (* v v))) (/ 4/3 PI)))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 255 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (log (exp (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 256 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (log (exp (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 v) (* PI v)) (/ (/ 4/3 PI) (pow v 6)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 257 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ 4/3 PI) (/ (* v v) (sqrt 2))) (* (/ (/ 4 2) (sqrt 2)) (* (/ v PI) v))) (+ (* (/ (pow v 4) PI) (+ (/ 4/3 (sqrt 2)) (/ (/ 4 2) (sqrt 2)))) (+ (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5)) (/ (/ 4/3 PI) (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (* (/ 4/3 PI) (/ (* v v) (sqrt 2))) (* (/ (/ 4 2) (sqrt 2)) (* (/ v PI) v))) (+ (* (/ (pow v 4) PI) (+ (/ 4/3 (sqrt 2)) (/ (/ 4 2) (sqrt 2)))) (+ (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5)) (/ (/ 4/3 PI) (sqrt 2)))))) * * * * [misc]progress: [ 258 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (- (* (/ (/ 1 -6) (sqrt -6)) (+ (/ (/ 4/3 PI) (pow v 5)) (/ (/ 4/3 PI) (pow v 7)))) (+ (+ (/ (/ (/ 4/3 PI) (sqrt -6)) (pow v 5)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5))) (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ 1 (pow v 7)) (/ (/ 1 v) (* v v)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (* (/ (/ 1 -6) (sqrt -6)) (+ (/ (/ 4/3 PI) (pow v 5)) (/ (/ 4/3 PI) (pow v 7)))) (+ (+ (/ (/ (/ 4/3 PI) (sqrt -6)) (pow v 5)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5))) (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ 1 (pow v 7)) (/ (/ 1 v) (* v v))))))) * * * * [misc]progress: [ 259 / 259 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ (/ 1 v) (* v v)) (/ 1 (pow v 5)))) (+ (/ (/ (/ 4/3 PI) (pow v 7)) (sqrt -6)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5)))) (* (/ (/ 4/3 -6) (sqrt -6)) (+ (/ (/ 1 PI) (pow v 5)) (/ (/ 1 PI) (pow v 7))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (* (/ (/ 4/3 PI) (sqrt -6)) (+ (/ (/ 1 v) (* v v)) (/ 1 (pow v 5)))) (+ (/ (/ (/ 4/3 PI) (pow v 7)) (sqrt -6)) (/ (/ (/ 2 PI) (pow v 7)) (pow (sqrt -6) 5)))) (* (/ (/ 4/3 -6) (sqrt -6)) (+ (/ (/ 1 PI) (pow v 5)) (/ (/ 1 PI) (pow v 7)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (pow (/ 4/3 PI) 1/3) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 4/3 PI) 1/3)) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 4/3 PI) 1/3)) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow v 4)) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow v 2)) (pow (/ 4/3 PI) 1/3))) into (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))))) into (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI))))))) into (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (pow (/ 4/3 PI) 1/3) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 4/3 PI) 1/3)) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 4/3 PI) 1/3)) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow v 4)) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow v 2)) (pow (/ 4/3 PI) 1/3))) into (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))))) into (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI))))))) into (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (pow (/ 4/3 PI) 1/3) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 4/3 PI) 1/3)) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 4/3 PI) 1/3)) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow v 4)) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow v 2)) (pow (/ 4/3 PI) 1/3))) into (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))))) into (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 1/3 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (* 2/9 (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 4)) (+ (* (* 1/3 (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI))))))) into (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 4/3 PI))) into (* 1/3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 4/3 PI) 1/3) (pow (/ 4/3 PI) 1/3)) into (pow (/ (pow 4/3 2) (pow PI 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ (pow 4/3 2) (pow PI 2)) 1/3) into (pow (/ 16/9 (pow PI 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) 0) (* 0 (pow (/ 4/3 PI) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) (* 1/3 (pow (/ 4/3 PI) 1/3))) (+ (* 0 0) (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (pow (/ 4/3 PI) 1/3)))) into (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) into (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) 0) (+ (* 0 (* 1/3 (pow (/ 4/3 PI) 1/3))) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) 0) (* 0 (pow (/ 4/3 PI) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 4/3 PI) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (/ 4/3 PI) 1/3) (* 2/9 (pow (/ 4/3 PI) 1/3))) (+ (* 0 0) (+ (* (* 1/3 (pow (/ 4/3 PI) 1/3)) (* 1/3 (pow (/ 4/3 PI) 1/3))) (+ (* 0 0) (* (* 2/9 (pow (/ 4/3 PI) 1/3)) (pow (/ 4/3 PI) 1/3)))))) into (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) into (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 5/9 (pow (/ 16/9 (pow PI 2)) 1/3)) (pow v 4)) (+ (* (* 2/3 (pow (/ 16/9 (pow PI 2)) 1/3)) (pow v 2)) (pow (/ 16/9 (pow PI 2)) 1/3))) into (+ (* 2/3 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 2))) (+ (* 5/9 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 4))) (pow (/ 16/9 (pow PI 2)) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) into (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (+ (* 0 (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))))) into (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) 2)) (pow (/ 1 v) 4)) (+ (* (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) 2)) (pow (/ 1 v) 2)) (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) 2))) into (+ (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Rewrote expression to (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 1/3 in v * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))) into (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2) into (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 2/3 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 0) (+ (* 0 (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) 0) (* 0 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (log (/ -4/3 PI)) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (+ (* (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (* 1/3 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))))) (+ (* 0 0) (* (* 2/9 (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))) (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v)))))))))) into (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) * [misc]backup-simplify: Simplify (* 5/9 (pow (exp (* 1/3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2)) into (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log v))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 5/9 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 (- v))))))) 2)) (pow (/ 1 (- v)) 4)) (+ (* (* 2/3 (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 (- v))))))) 2)) (pow (/ 1 (- v)) 2)) (pow (exp (* 1/3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 (- v))))))) 2))) into (+ (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 6 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 7 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 8 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 9 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 10 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 11 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 12 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (/ 4 (* 3 PI)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 13 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 14 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 1 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 15 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 16 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 17 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 18 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt 4) (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 19 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 20 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 1 (- 1 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 21 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 22 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (cbrt (+ 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 23 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 24 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 33 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 34 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 35 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 36 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 37 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 38 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 39 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (/ 4 (* 3 PI)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 40 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 41 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 1 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 42 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 43 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 44 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 45 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt 4) (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 46 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 47 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 1 (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 48 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 49 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (cbrt (+ 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 50 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 51 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 60 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 61 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 62 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 63 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 64 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 65 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 66 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (sqrt (/ 4 (* 3 PI)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 67 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 68 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 1 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 69 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 70 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 71 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 72 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt 4) (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 73 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 74 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 1 (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 75 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 76 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (cbrt (+ 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 77 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 78 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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 (160 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) (+ 1/3 1/3)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 83 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (+ 1 1)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (pow (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (+ 1 1)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 84 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) 1/3) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 85 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 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) (/ (* (pow (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 86 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (pow (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (+ 1 1)) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 88 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (log (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (+ (log (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (log (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (exp (+ (log (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (log (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 90 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 93 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 97 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 99 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 100 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 101 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))))) (cbrt (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 102 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1))) (cbrt (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 103 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 104 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))) (cbrt (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 105 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (sqrt (/ 4 (* PI 3))) 1))) (cbrt (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 106 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 107 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 1 (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 108 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 1 1))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 109 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))))) (cbrt (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 110 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 111 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (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 (160 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 1))) (cbrt (/ (/ 1 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 112 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt 1)) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 113 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (* PI 3)))) (cbrt (/ 1 (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 114 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ 1 (* v v)) (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))))) (cbrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 115 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))))) (cbrt (+ 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 116 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) (cbrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 117 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 118 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 119 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (cbrt (* (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 (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 120 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (* (cbrt (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 121 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (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 (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 122 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) (* (cbrt (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 123 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (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 (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 124 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (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))))) (* (cbrt (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 125 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (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))))) (* (cbrt (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 126 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 4 (* PI 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (sqrt (/ 4 (* 3 PI)))) (* (cbrt (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 127 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 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)))))) (* (cbrt (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 128 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ 1 (sqrt (- 1 (* v v))))) (* (cbrt (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 129 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt 1) (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 130 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ 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)))))) (* (cbrt (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 131 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (* (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 132 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt 4) (* (cbrt (/ (/ 1 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 133 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt 1) (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 134 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (* (cbrt (/ 1 (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 135 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (469 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3)))) (* (cbrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 136 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v))))) (* (cbrt (+ 1 (* v v))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 137 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (* (cbrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (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 (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (* (cbrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 138 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (164 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (sqrt (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (* (sqrt (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 139 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ 4 (* PI 3)))) (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 141 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (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 (165 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (cbrt (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 142 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (+ (cbrt (/ 4/3 PI)) (* (+ (* 2/9 (pow v 4)) (* 1/3 (* v v))) (cbrt (/ 4/3 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (+ (cbrt (/ 4/3 PI)) (* (+ (* 2/9 (pow v 4)) (* 1/3 (* v v))) (cbrt (/ 4/3 PI))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 144 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (+ (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 145 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (+ (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v)))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 146 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (+ (cbrt (/ 4/3 PI)) (* (+ (* 2/9 (pow v 4)) (* 1/3 (* v v))) (cbrt (/ 4/3 PI)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (+ (cbrt (/ 4/3 PI)) (* (+ (* 2/9 (pow v 4)) (* 1/3 (* v v))) (cbrt (/ 4/3 PI))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 147 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (+ (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 148 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (v) (/ (* (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (+ (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 149 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/9 (* (pow (/ 4/3 PI) 1/3) (pow v 4))) (+ (* 1/3 (* (pow (/ 4/3 PI) 1/3) (pow v 2))) (pow (/ 4/3 PI) 1/3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (+ (cbrt (/ 4/3 PI)) (* (+ (* 2/9 (pow v 4)) (* 1/3 (* v v))) (cbrt (/ 4/3 PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (+ (cbrt (/ 4/3 PI)) (* (+ (* 2/9 (pow v 4)) (* 1/3 (* v v))) (cbrt (/ 4/3 PI)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 150 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 4))) (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (+ (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ 1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 151 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (+ (* 2/9 (/ (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))) (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (* (* (+ (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (* (* (cbrt (/ -4/3 PI)) (pow (/ -1 v) (* 2 1/3))) (+ (/ 2/9 (pow v 4)) (/ 1/3 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 152 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/3 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 2))) (+ (* 5/9 (* (pow (/ 16/9 (pow PI 2)) 1/3) (pow v 4))) (pow (/ 16/9 (pow PI 2)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ (/ 16/9 PI) PI)) (+ (* 5/9 (pow v 4)) (* (* 2/3 v) v))) (cbrt (/ (/ 16/9 PI) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (+ (* (cbrt (/ (/ 16/9 PI) PI)) (+ (* 5/9 (pow v 4)) (* (* 2/3 v) v))) (cbrt (/ (/ 16/9 PI) PI))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 153 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (+ (* (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) (+ 1/3 1/3)) (+ (/ 5/9 (pow v 4)) (/ 2/3 (* v v)))) (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (+ (* (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) (+ 1/3 1/3)) (+ (/ 5/9 (pow v 4)) (/ 2/3 (* v v)))) (pow (* (/ -4/3 PI) (* (/ 1 v) (/ 1 v))) (+ 1/3 1/3))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 154 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 5/9 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 4))) (+ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (* 2/3 (/ (pow (exp (* 1/3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) 2) (pow v 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (+ (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) (+ 1/3 1/3)) (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) (+ 1/3 1/3)) (+ (/ 5/9 (pow v 4)) (/ (/ 2/3 v) v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (+ (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) (+ 1/3 1/3)) (* (pow (* (/ -4/3 PI) (* (/ -1 v) (/ -1 v))) (+ 1/3 1/3)) (+ (/ 5/9 (pow v 4)) (/ (/ 2/3 v) v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) (cbrt (cbrt (/ 4 (* PI 3))))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt (sqrt (/ 4 (* 3 PI)))) (cbrt (sqrt (/ 4 (* PI 3))))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt 1) (cbrt (/ 4 (* PI 3)))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (* (cbrt 4) (cbrt (/ 1 (* PI 3)))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt 4) (cbrt (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (* (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) (cbrt (cbrt (/ 4 (* PI 3)))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (* (cbrt (sqrt (/ 4 (* 3 PI)))) (cbrt (sqrt (/ 4 (* PI 3)))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (* (cbrt 1) (cbrt (/ 4 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (* (cbrt 4) (cbrt (/ 1 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (/ (cbrt 4) (cbrt (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (/ (* (/ (* (* (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) (cbrt (cbrt (/ 4 (* PI 3))))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (/ (* (/ (* (* (cbrt (sqrt (/ 4 (* 3 PI)))) (cbrt (sqrt (/ 4 (* PI 3))))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (/ (* (/ (* (* (cbrt 1) (cbrt (/ 4 (* PI 3)))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (/ (* (/ (* (* (cbrt 4) (cbrt (/ 1 (* PI 3)))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (v) (/ (* (/ (* (/ (cbrt 4) (cbrt (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 76 ] 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 1 1 1) to (λ (v) (/ (* (/ (pow (/ 4 (* 3 PI)) (+ 1/3 1/3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (pow (/ 4 (* PI 3)) (+ 1/3 1/3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (pow (cbrt (/ 4 (* 3 PI))) (+ 1 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (pow (cbrt (/ 4 (* PI 3))) (+ 1 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (pow (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) 1/3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 43 / 76 ] 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 1 1) to (λ (v) (/ (* (/ (pow (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) 1) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (pow (cbrt (/ 4 (* 3 PI))) (+ 1 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ 4 (* PI 3)))) (log (cbrt (/ 4 (* PI 3))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ 4 (* 3 PI)))) (log (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (exp (+ (log (cbrt (/ 4 (* 3 PI)))) (log (cbrt (/ 4 (* 3 PI)))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (cbrt (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt 4) (cbrt 4)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cbrt 4) (cbrt 4)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (/ (* (cbrt 4) (cbrt 4)) (* (cbrt (* PI 3)) (cbrt (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (* (cbrt (* PI 3)) (cbrt (* PI 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 3 PI)) (cbrt (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (/ (* (cbrt 4) (cbrt 4)) (* (cbrt (* 3 PI)) (cbrt (* 3 PI)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (* (* (cbrt (/ 4 (* PI 3))) (cbrt (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))))) (cbrt (cbrt (/ 4 (* 3 PI))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (* (* (cbrt (/ 4 (* PI 3))) (cbrt (sqrt (/ 4 (* PI 3))))) (cbrt (sqrt (/ 4 (* 3 PI))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (* (* (cbrt (/ 4 (* PI 3))) (cbrt 1)) (cbrt (/ 4 (* 3 PI)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (* (* (cbrt (/ 4 (* PI 3))) (cbrt 4)) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (* (* (cbrt (/ 4 (* PI 3))) (* (cbrt (cbrt (/ 4 (* PI 3)))) (cbrt (cbrt (/ 4 (* PI 3)))))) (cbrt (cbrt (/ 4 (* 3 PI))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (* (* (cbrt (/ 4 (* PI 3))) (sqrt (cbrt (/ 4 (* PI 3))))) (sqrt (cbrt (/ 4 (* 3 PI))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (* (* (cbrt (/ 4 (* PI 3))) 1) (cbrt (/ 4 (* 3 PI)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (* (cbrt (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI))))) (* (cbrt (cbrt (/ 4 (* PI 3)))) (cbrt (/ 4 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (* (cbrt (sqrt (/ 4 (* 3 PI)))) (* (cbrt (sqrt (/ 4 (* PI 3)))) (cbrt (/ 4 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (* (cbrt 1) (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 4) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (* (cbrt 4) (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 4 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ 4 (* PI 3)))) (cbrt (cbrt (/ 4 (* PI 3))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ 4 (* 3 PI)))) (cbrt (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (* (* (cbrt (cbrt (/ 4 (* 3 PI)))) (cbrt (cbrt (/ 4 (* 3 PI))))) (* (cbrt (cbrt (/ 4 (* PI 3)))) (cbrt (/ 4 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (* (sqrt (cbrt (/ 4 (* 3 PI)))) (* (sqrt (cbrt (/ 4 (* PI 3)))) (cbrt (/ 4 (* PI 3))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 3 PI)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt 4)) (cbrt (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt 4) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* PI 3))) (cbrt 4)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt 4)) (cbrt (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 76 ] 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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 74 / 76 ] 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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 75 / 76 ] 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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * * [misc]progress: [ 76 / 76 ] 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 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (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 (* (* 6 v) v))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4028 additional inputs, on iter 1 have 3972 / 8000 * * * * [misc]points: Computing exacts on every 251 of 4028 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 4028 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 4028 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 4028 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 4028 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 4028 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 4028 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4028 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 1990 additional inputs, on iter 2 have 6010 / 8000 * * * * [misc]points: Computing exacts on every 124 of 1990 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 1990 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 1990 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 1990 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 1990 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 1990 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1990 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 1000 additional inputs, on iter 3 have 7000 / 8000 * * * * [misc]points: Computing exacts on every 62 of 1000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 1000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 1000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 1000 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 1000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 507 additional inputs, on iter 4 have 7493 / 8000 * * * * [misc]points: Computing exacts on every 31 of 507 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 507 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 507 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 507 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 507 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 249 additional inputs, on iter 5 have 7751 / 8000 * * * * [misc]points: Computing exacts on every 15 of 249 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 249 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 249 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 249 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 124 additional inputs, on iter 6 have 7876 / 8000 * * * * [misc]points: Computing exacts on every 7 of 124 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 124 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 124 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 72 additional inputs, on iter 7 have 7928 / 8000 * * * * [misc]points: Computing exacts on every 4 of 72 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 72 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 72 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 26 additional inputs, on iter 8 have 7974 / 8000 * * * * [misc]points: Computing exacts for 26 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 9 have 7982 / 8000 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 10 have 7991 / 8000 * * * * [misc]points: Computing exacts for 9 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 11 have 7994 / 8000 * * * * [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 12 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs