* [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 133 additional inputs, on iter 1 have 123 / 256 * * * * [misc]points: Computing exacts on every 8 of 133 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 133 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 133 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 133 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 60 additional inputs, on iter 2 have 196 / 256 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 60 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 3 have 223 / 256 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 4 have 242 / 256 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* v (* v 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt 2) PI)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 4/3 (* (sqrt 2) PI)))) into (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * * * * [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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * * * * [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 (* v (* v 6)))))) * * * * [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 (* v (* v 6)))))) * * * * [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 (* v (* v 6)))))) * * * * [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 (* v (* v 6)))))) * * * * [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 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * * * * [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 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 46 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 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 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 56 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 57 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 59 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (110 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 61 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 62 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 63 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 65 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 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 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (138 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (287 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 73 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 74 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 75 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 77 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (61 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 79 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 80 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 81 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 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 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 83 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 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 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 85 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 86 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 87 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 89 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 91 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 92 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 93 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 95 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 97 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 98 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 99 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 101 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 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) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 103 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 104 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 105 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 107 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 109 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 110 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 111 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 113 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 115 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 116 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 117 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 119 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 121 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 122 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 123 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 125 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 127 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 128 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 129 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 131 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 133 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 134 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 135 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 137 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 139 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 140 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 141 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 143 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 145 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 146 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 147 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 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 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt 1)) PI) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 149 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 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 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 151 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 152 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 153 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (477 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 155 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 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 (332 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 157 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 158 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 159 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 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 (138 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 161 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 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 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 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 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 167 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 168 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 169 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 170 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 171 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 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 (165 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 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 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 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 (* v (* v 6)))) (/ (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 (* v (* v 6)))) (/ (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 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 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 (* v (* v 6)))) (/ (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 (* v (* v 6)))) (/ (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 (* v (* v 6)))) (/ (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 (* v (* v 6)))) (/ (/ 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 (* v (* v 6)))) (/ (/ 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 (* v (* v 6)))) (/ (/ 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 (* v (* v 6)))) (/ (/ 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 (* v (* v 6)))) (/ (/ 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 (* v (* v 6)))) (/ (/ 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 (* v (* v 6)))) (/ 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 (100 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (- 2 (* v (* v 6)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 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 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (+ 1 (* v v))))) * * * * [misc]progress: [ 190 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3)))) (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))))) * * * * [misc]progress: [ 191 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6)))))) (sqrt (+ 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 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 (* v (* v 6)))) (- 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 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (fabs (cbrt (- 2 (* (* 6 v) v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 200 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt (sqrt (- 2 (* (* 6 v) v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 201 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (sqrt 1) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 202 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3))) (sqrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 203 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (sqrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (sqrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) (sqrt (+ 2 (* v (* v 6))))))) * * * * [misc]progress: [ 204 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 205 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (fabs (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 206 / 218 ] simplifiying candidate # * * * * [misc]progress: [ 207 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 208 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 209 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 210 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 211 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 212 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 213 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2)))))) * * * * [misc]progress: [ 214 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))))) * * * * [misc]progress: [ 215 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))))) * * * * [misc]progress: [ 216 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (- (- (sqrt 2) (* (/ (pow v 4) 2) (/ 9/2 (sqrt 2)))) (* v (/ (* v 3) (sqrt 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (- (sqrt 2) (* (/ (pow v 4) 2) (/ 9/2 (sqrt 2)))) (* v (/ (* v 3) (sqrt 2)))))) * * * * [misc]progress: [ 217 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v)) (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v)) (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6)))))) * * * * [misc]progress: [ 218 / 218 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (- (/ (/ (/ 1/2 v) (* v v)) (* -6 (sqrt -6))) (+ (/ (/ 1 v) (sqrt -6)) (* (sqrt -6) v))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* v (* v 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* v (* v 6))))) 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 (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (sqrt (pow 2 1/3)) into (pow 2 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow 2 1/3)))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (pow 2 1/6)) into (* 4/3 (* (/ 1 PI) (pow (/ 1 2) 1/6))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* v (* v 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* v (* v 6))))) 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 (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (sqrt (pow 2 1/3)) into (pow 2 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow 2 1/3)))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (pow 2 1/6)) into (* 4/3 (* (/ 1 PI) (pow (/ 1 2) 1/6))) * [misc]backup-simplify: Simplify (* 4/3 (* (/ 1 PI) (pow (/ 1 2) 1/6))) into (* 4/3 (* (pow 1/2 1/6) (/ 1 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 (pow 2 1/6)) (+ (* (* 4/3 (* (/ 1 PI) (pow (/ 1 2) 1/6))) (/ 0 (pow 2 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 -6) 1)) (pow 2 1)))) 2) into -3 * [misc]backup-simplify: Simplify (+ (* 1/3 -3) (+ (* 0 0) (* 0 (log 2)))) into -1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1 1) 1)))) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (/ (- (* -1 (pow 2 1/3)) (pow 0 2) (+)) (* 2 (pow 2 1/6))) into (* -1/2 (pow 2 1/6)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (pow 2 1/6)) (+ (* (* 4/3 (* (/ 1 PI) (pow (/ 1 2) 1/6))) (/ (* -1/2 (pow 2 1/6)) (pow 2 1/6))) (* 0 (/ 0 (pow 2 1/6))))) into (* 2 (* (pow 1/2 1/6) (/ 1 PI))) * [misc]backup-simplify: Simplify (* 2 (* (pow 1/2 1/6) (/ 1 PI))) into (* 2 (* (pow 1/2 1/6) (/ 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -6) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -3) (+ (* 0 0) (* 0 (log 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow 2 1/6)))))) (* 2 (pow 2 1/6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow 2 1/6)) (+ (* (* 4/3 (* (/ 1 PI) (pow (/ 1 2) 1/6))) (/ 0 (pow 2 1/6))) (* 0 (/ (* -1/2 (pow 2 1/6)) (pow 2 1/6))) (* (* 2 (* (pow 1/2 1/6) (/ 1 PI))) (/ 0 (pow 2 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -6) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 -6) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into -9/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -9/2) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 (log 2)))))) into -3/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1 2) 2)) (* (/ (pow -3/2 1) 1)))) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (/ (- (* -1 (pow 2 1/3)) (pow (* -1/2 (pow 2 1/6)) 2) (+ (* 2 (* 0 0)))) (* 2 (pow 2 1/6))) into (* -5/8 (pow 2 1/6)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (pow 2 1/6)) (+ (* (* 4/3 (* (/ 1 PI) (pow (/ 1 2) 1/6))) (/ (* -5/8 (pow 2 1/6)) (pow 2 1/6))) (* 0 (/ 0 (pow 2 1/6))) (* (* 2 (* (pow 1/2 1/6) (/ 1 PI))) (/ (* -1/2 (pow 2 1/6)) (pow 2 1/6))) (* 0 (/ 0 (pow 2 1/6))))) into (* 19/6 (* (pow 1/2 1/6) (/ 1 PI))) * [misc]backup-simplify: Simplify (* 19/6 (* (pow 1/2 1/6) (/ 1 PI))) into (* 19/6 (* (pow 1/2 1/6) (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (* 19/6 (* (pow 1/2 1/6) (/ 1 PI))) (pow v 4)) (+ (* (* 2 (* (pow 1/2 1/6) (/ 1 PI))) (pow v 2)) (* 4/3 (* (pow 1/2 1/6) (/ 1 PI))))) into (+ (* 2 (* (/ (pow v 2) PI) (pow 1/2 1/6))) (+ (* 4/3 (* (pow 1/2 1/6) (/ 1 PI))) (* 19/6 (* (/ (pow v 4) PI) (pow 1/2 1/6))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 v) (* (/ 1 v) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) 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 (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) into (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 v) (* (/ 1 v) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) 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 (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) into (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) * [misc]backup-simplify: Simplify (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) into (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) * [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 (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -6 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow -6 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (/ (- (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) (pow 0 2) (+)) (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -6 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 2) 1)) (pow -6 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -6 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))))))) (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -6 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 2) 1)) (pow -6 3))) (* -3 (/ (* 1 (pow (* 2 2) 2)) (pow -6 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -6 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -6 1)))) 24) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))))) into (- 1/54) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (/ (- (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) (pow (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into (* -5/648 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ (* -5/648 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) (/ (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))))))) (pow (/ 1 v) 6)) (+ (* (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))))))) (pow (/ 1 v) 4)) (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))))))) (pow (/ 1 v) 2)))) into (- (+ (* 38/27 (* (/ 1 (* PI (pow v 4))) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))))))) (+ (* 4/3 (* (/ 1 (* PI (pow v 2))) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))))))) (* 691/486 (* (/ 1 (* PI (pow v 6))) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) 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 (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) into (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) 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 (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) into (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) * [misc]backup-simplify: Simplify (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) into (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) * [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 (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -6 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow -6 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (/ (- (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) (pow 0 2) (+)) (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -6 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 2) 1)) (pow -6 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -6 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))))))) (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -6 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 2) 1)) (pow -6 3))) (* -3 (/ (* 1 (pow (* 2 2) 2)) (pow -6 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -6 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -6 1)))) 24) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))))) into (- 1/54) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (/ (- (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) (pow (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) into (* -5/648 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (+ (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v))))))))) (/ (* -5/648 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) (/ (* -1/18 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v))))))) (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))) (* 0 (/ 0 (sqrt (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) into (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log v)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 691/486 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v)))))))))))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 38/27 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v)))))))))))) (pow (/ 1 (- v)) 4)) (* (* -4/3 (* (/ 1 PI) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v))))))))))) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (* (/ 1 (* (pow v 2) PI)) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))))))) (+ (* 691/486 (* (/ 1 (* (pow v 6) PI)) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))))))) (* 38/27 (* (/ 1 (* (pow v 4) PI)) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* v (* v 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* v (* v 6))))) 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 (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* v (* v 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* v (* v 6))))) 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 (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (pow 2 1/3) into (pow 2 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 -6) 1)) (pow 2 1)))) 2) into -3 * [misc]backup-simplify: Simplify (+ (* 1/3 -3) (+ (* 0 0) (* 0 (log 2)))) into -1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1 1) 1)))) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow 2 1/3)) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -6) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -3) (+ (* 0 0) (* 0 (log 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -6) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 -6) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into -9/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -9/2) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 (log 2)))))) into -3/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1 2) 2)) (* (/ (pow -3/2 1) 1)))) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow 2 1/3)) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1 (pow 2 1/3)) (pow v 4)) (+ (* (* -1 (pow 2 1/3)) (pow v 2)) (pow 2 1/3))) into (- (pow 2 1/3) (+ (* (pow v 4) (pow 2 1/3)) (* (pow v 2) (pow 2 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 v) (* (/ 1 v) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) 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 (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 v) (* (/ 1 v) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) 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 (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -6 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow -6 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -6 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 2) 1)) (pow -6 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -6 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -6 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 2) 1)) (pow -6 3))) (* -3 (/ (* 1 (pow (* 2 2) 2)) (pow -6 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -6 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -6 1)))) 24) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))))) into (- 1/54) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))) (pow (/ 1 v) 4)) (+ (* (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))) (pow (/ 1 v) 2)) (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))))) into (- (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (+ (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 4))) (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) 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 (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) 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 (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -6 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow -6 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -6 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 2) 1)) (pow -6 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -6 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -6 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 2) 1)) (pow -6 3))) (* -3 (/ (* 1 (pow (* 2 2) 2)) (pow -6 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -6 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -6 1)))) 24) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))))) into (- 1/54) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v)))))))) (pow (/ 1 (- v)) 4)) (+ (* (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v)))))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v))))))))) into (- (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 2))) (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 4))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* v (* v 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* v (* v 6))))) 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 (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* v (* v 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* v (* v 6))))) 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 (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/3 (log 2)) into (* 1/3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2))) into (pow 2 1/3) * [misc]backup-simplify: Simplify (pow 2 1/3) into (pow 2 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 -6) 1)) (pow 2 1)))) 2) into -3 * [misc]backup-simplify: Simplify (+ (* 1/3 -3) (+ (* 0 0) (* 0 (log 2)))) into -1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1 1) 1)))) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow 2 1/3)) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -6) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -3) (+ (* 0 0) (* 0 (log 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -6) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 -6) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into -9/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -9/2) (+ (* 0 0) (+ (* 0 -3) (+ (* 0 0) (* 0 (log 2)))))) into -3/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1 2) 2)) (* (/ (pow -3/2 1) 1)))) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow 2 1/3)) into (* -1 (pow 2 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1 (pow 2 1/3)) (pow v 4)) (+ (* (* -1 (pow 2 1/3)) (pow v 2)) (pow 2 1/3))) into (- (pow 2 1/3) (+ (* (pow v 4) (pow 2 1/3)) (* (pow v 2) (pow 2 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 v) (* (/ 1 v) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) 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 (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 v) (* (/ 1 v) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) 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 (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 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) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -6 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow -6 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -6 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 2) 1)) (pow -6 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -6 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -6 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 2) 1)) (pow -6 3))) (* -3 (/ (* 1 (pow (* 2 2) 2)) (pow -6 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -6 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -6 1)))) 24) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))))) into (- 1/54) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))) (pow (/ 1 v) 4)) (+ (* (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))) (pow (/ 1 v) 2)) (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))))) into (- (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (+ (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 4))) (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) 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 (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]taylor: Taking taylor expansion of (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Rewrote expression to (pow (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) 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 (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (log -6) into (log -6) * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -6) (* 2 (log v)))) into (* 1/3 (- (log -6) (* 2 (log v)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -6) (* 2 (log v))))) into (exp (* 1/3 (- (log -6) (* 2 (log v))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -6) (* 2 (log v))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 1) 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 (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -6 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow -6 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/9) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -6 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 2) 1)) (pow -6 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -6 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -6 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 2) 1)) (pow -6 3))) (* -3 (/ (* 1 (pow (* 2 2) 2)) (pow -6 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -6 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -6 1)))) 24) into -1/18 * [misc]backup-simplify: Simplify (+ (* (- 2) (log v)) (log -6)) into (- (log -6) (* 2 (log v))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/18) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 (- (log -6) (* 2 (log v)))))))) into (- 1/54) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -6) (* 2 (log v))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/54) 1) 1)))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) into (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log v)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/81 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v)))))))) (pow (/ 1 (- v)) 4)) (+ (* (* -1/9 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v)))))))) (pow (/ 1 (- v)) 2)) (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 (- v))))))))) into (- (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 2))) (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 4))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (fabs (cbrt (- 2 (* v (* v 6))))) in v * [misc]backup-simplify: Simplify (fabs (cbrt (- 2 (* v (* v 6))))) into (fabs (cbrt (- 2 (* 6 (pow v 2))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (fabs (cbrt (- 2 (* v (* v 6))))) in v * [misc]backup-simplify: Simplify (fabs (cbrt (- 2 (* v (* v 6))))) into (fabs (cbrt (- 2 (* 6 (pow v 2))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * [misc]approximate: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (fabs (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]backup-simplify: Simplify (fabs (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) into (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (fabs (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]backup-simplify: Simplify (fabs (cbrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) into (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow (/ 1 v) 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * [misc]approximate: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (fabs (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]backup-simplify: Simplify (fabs (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) into (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (fabs (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]backup-simplify: Simplify (fabs (cbrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) into (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2))))))) (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))) (* 0 (/ 0 (fabs (cbrt (- 2 (* 6 (/ 1 (pow v 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (fabs (cbrt (- 2 (* 6 (/ 1 (pow (/ 1 (- v)) 2))))))) into (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 3 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (exp (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 4 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (cbrt (- 2 (* v (* v 6))))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (cbrt (- 2 (* v (* 6 v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (cbrt (/ (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (cbrt (- 2 (* v (* 6 v))))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 7 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (cbrt (- 2 (* v (* v 6))))) (sqrt (cbrt (- 2 (* v (* v 6)))))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (cbrt (- 2 (* (* v v) 6)))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (cbrt (/ (/ (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) (cbrt (- 2 (* (* v v) 6)))) (sqrt (cbrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 8 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 13 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (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))))) (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 14 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 15 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt 1))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt 1))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (cbrt 1))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 16 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 17 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 18 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 19 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 20 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 21 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 22 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [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 (191 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 23 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 24 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt 1))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt 1))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 25 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 26 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 27 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 28 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 29 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 30 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 31 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* 6 v)))) (cbrt (- 2 (* v (* 6 v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* 6 v)))) (cbrt (- 2 (* v (* 6 v)))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 32 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 33 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 34 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 35 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 36 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 37 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 38 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (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 (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (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 (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 39 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 40 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 41 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 42 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (cbrt 1))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 43 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 44 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 45 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 46 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 47 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 48 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 49 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 50 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 51 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (cbrt 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 (60 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (cbrt 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (cbrt 1)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (cbrt 1)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 52 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 53 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 54 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 55 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 56 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 57 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 58 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 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)))) (sqrt (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 59 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 60 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 61 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 62 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 63 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 64 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 65 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 66 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 67 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 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)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 68 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 69 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt 1))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 70 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 71 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 72 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 73 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v))))))))) * * * * [misc]progress: [ 74 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v)))))))) * * * * [misc]progress: [ 75 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 76 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 77 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 78 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (cbrt 1))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 79 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 80 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 81 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 82 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 83 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 84 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 85 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 86 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 87 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 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 (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (sqrt (cbrt 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (* (cbrt (- 1 (* v v))) (sqrt (cbrt 1)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 88 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 89 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 90 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 91 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 92 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 93 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 94 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 95 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 96 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt 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 (/ (/ 1 (sqrt (cbrt 1))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (cbrt 1))) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt 1))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 97 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 98 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 99 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 100 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))))))) * * * * [misc]progress: [ 101 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 102 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 103 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 104 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 105 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt 1))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt 1))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 106 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (fabs (cbrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (fabs (cbrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 107 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 108 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 109 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 110 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 111 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 112 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (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))))) (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 113 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 114 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt (cbrt 1))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (sqrt (cbrt 1))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (cbrt 1))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 115 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 116 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 117 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 118 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 119 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 120 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 121 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 122 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 123 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (cbrt 1))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (cbrt 1))) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (cbrt 1))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 124 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 125 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 126 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 127 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 128 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 129 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 130 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [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 (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 131 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 132 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (cbrt 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (cbrt 1))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (cbrt 1))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 133 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 134 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 135 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 1)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 136 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 137 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 138 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 1 (cbrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 139 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (* (cbrt (- 2 (* (* v v) 6))) (cbrt (- 2 (* (* v v) 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 140 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 141 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt 1))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (cbrt 1))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 142 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (fabs (cbrt (cbrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 143 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 144 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 145 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 1 (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* 6 (* v v)))))))))) * * * * [misc]progress: [ 146 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 147 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (cbrt (sqrt (cbrt (- 2 (* 6 (* v v))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 148 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 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)) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (sqrt (cbrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* PI 3)) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 149 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* PI 3)) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 150 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (cbrt 1))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (sqrt (cbrt 1))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* PI 3)) (sqrt (cbrt 1))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 151 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 152 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 153 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 3) (sqrt 1)) PI) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 154 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* 6 v)))))))))) * * * * [misc]progress: [ 155 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v))))))))) * * * * [misc]progress: [ 156 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (* (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (* (cbrt (sqrt (cbrt (- 2 (* (* v 6) v))))) (* (- 1 (* (pow v 3) (pow v 3))) (* 3 PI)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 157 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 158 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 159 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (cbrt 1))) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (sqrt (cbrt 1))) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (cbrt 1))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 160 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 161 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 162 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 163 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 164 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 165 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (cbrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (cbrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 166 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (* (cbrt (- 2 (* (* v 6) v))) (cbrt (- 2 (* (* v 6) v))))))) (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 167 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (cbrt (sqrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 168 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (cbrt 1))) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (sqrt (cbrt 1))) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (sqrt (cbrt 1))) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 169 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (cbrt (cbrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 170 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 171 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 172 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (cbrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (sqrt (sqrt (cbrt (- 2 (* (* v v) 6))))))))) * * * * [misc]progress: [ 173 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6)))))))) * * * * [misc]progress: [ 174 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 177 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))) (cbrt (sqrt (cbrt (- 2 (* v (* v 6)))))))) (cbrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 178 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 179 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (sqrt (- 2 (* v (* v 6))))))) (sqrt (cbrt (sqrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 180 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt 1))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 181 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (cbrt (- 2 (* v (* v 6))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) (sqrt (cbrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 182 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 183 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 184 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (cbrt (- 2 (* v (* v 6))))))) (sqrt (sqrt (cbrt (- 2 (* (* 6 v) v)))))))) * * * * [misc]progress: [ 185 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 186 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 187 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 188 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 189 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 190 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))))))) * * * * [misc]progress: [ 191 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 192 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 193 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ 4 (* 3 PI))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))))))) * * * * [misc]progress: [ 194 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 195 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 196 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ 1 (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 197 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 198 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))))))) * * * * [misc]progress: [ 199 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ 4 (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ (/ 1 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 200 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 201 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ 4 (* 3 PI)) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (/ 1 (- 1 (* v v))))))) * * * * [misc]progress: [ 202 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))))) * * * * [misc]progress: [ 203 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (cbrt (- 2 (* v (* v 6))))) (+ 1 (* v v)))))) * * * * [misc]progress: [ 204 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* v 6) (* 2 v)) (* 2 2))))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- (pow 2 3) (pow (* v (* v 6)) 3))))) (sqrt (cbrt (+ (* (* 6 (* v v)) (* 6 (* v v))) (+ (* (* v 6) (* 2 v)) (* 2 2)))))))) * * * * [misc]progress: [ 205 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6))))))) (sqrt (cbrt (+ 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 206 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ 4 (* 3 PI)) (* (sqrt (cbrt (- 2 (* v (* v 6))))) (- 1 (* v v)))))) * * * * [misc]progress: [ 207 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 208 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 209 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 210 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 211 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 212 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))))) * * * * [misc]progress: [ 213 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt 1) (cbrt (- 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 214 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow 2 3) (pow (* v (* v 6)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (cbrt (- (pow 2 3) (pow (* v (* v 6)) 3))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (/ (cbrt (- (pow 2 3) (pow (* v (* v 6)) 3))) (cbrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6))))))))))) * * * * [misc]progress: [ 215 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (cbrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (/ (cbrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) (cbrt (+ 2 (* v (* v 6))))))))) * * * * [misc]progress: [ 216 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 217 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 218 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 219 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 220 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 221 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 222 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 223 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 224 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (* (/ 1 (fabs (* (cbrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v))))) (cbrt (cbrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 225 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (* (/ 1 (fabs (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 226 / 260 ] 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) (* (/ 1 (fabs (* (cbrt 1) (cbrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 227 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow 2 3) (pow (* v (* v 6)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (cbrt (- (pow 2 3) (pow (* v (* v 6)) 3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (* (/ 1 (fabs (/ (cbrt (- (pow 2 3) (pow (* v (* v 6)) 3))) (cbrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6))))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 228 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (cbrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (v) (* (/ 1 (fabs (/ (cbrt (- (* 2 2) (* (* (* v 6) v) (* (* v 6) v)))) (cbrt (+ 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 229 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 230 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 231 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 232 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 233 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 234 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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 2) to (λ (v) (* (pow (fabs (cbrt (- 2 (* v (* v 6))))) (- 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 235 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 236 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 237 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 238 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 239 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 240 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 241 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 242 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 243 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 244 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 245 / 260 ] simplifiying candidate # * * * * [misc]progress: [ 246 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fabs (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ 1 (* (cbrt (fabs (cbrt (- 2 (* v (* v 6)))))) (cbrt (fabs (cbrt (- 2 (* v (* v 6)))))))) (cbrt (fabs (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 247 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fabs (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ 1 (sqrt (fabs (cbrt (- 2 (* v (* v 6))))))) (sqrt (fabs (cbrt (- 2 (* (* 6 v) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 248 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (fabs (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (* (/ (/ 1 1) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 249 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (* (/ (pow v 2) PI) (pow 1/2 1/6))) (+ (* 4/3 (* (pow 1/2 1/6) (/ 1 PI))) (* 19/6 (* (/ (pow v 4) PI) (pow 1/2 1/6))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (pow 1/2 1/6) (+ (/ (* 2 v) (/ PI v)) (+ (* (/ 19/6 PI) (pow v 4)) (/ 4/3 PI)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (* (pow 1/2 1/6) (+ (/ (* 2 v) (/ PI v)) (+ (* (/ 19/6 PI) (pow v 4)) (/ 4/3 PI)))))) * * * * [misc]progress: [ 250 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 38/27 (* (/ 1 (* PI (pow v 4))) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))))))) (+ (* 4/3 (* (/ 1 (* PI (pow v 2))) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))))))) (* 691/486 (* (/ 1 (* PI (pow v 6))) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v))))))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (- (* (sqrt (pow (exp (- 1/3)) (+ (* (log v) 2) (log -6)))) (+ (/ (/ 691/486 PI) (pow v 6)) (+ (/ (/ 38/27 PI) (pow v 4)) (/ (/ 4/3 PI) (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (- (* (sqrt (pow (exp (- 1/3)) (+ (* (log v) 2) (log -6)))) (+ (/ (/ 691/486 PI) (pow v 6)) (+ (/ (/ 38/27 PI) (pow v 4)) (/ (/ 4/3 PI) (* v v)))))))) * * * * [misc]progress: [ 251 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (* (/ 1 (* (pow v 2) PI)) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))))))) (+ (* 691/486 (* (/ 1 (* (pow v 6) PI)) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))))))) (* 38/27 (* (/ 1 (* (pow v 4) PI)) (sqrt (/ 1 (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v))))))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (- (* (sqrt (pow (exp (- 1/3)) (- (log -6) (* 2 (log (/ -1 v)))))) (+ (+ (/ 691/486 (* (pow v 6) PI)) (/ 4/3 (* v (* v PI)))) (/ 38/27 (* (pow v 4) PI))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (- (* (sqrt (pow (exp (- 1/3)) (- (log -6) (* 2 (log (/ -1 v)))))) (+ (+ (/ 691/486 (* (pow v 6) PI)) (/ 4/3 (* v (* v PI)))) (/ 38/27 (* (pow v 4) PI))))))) * * * * [misc]progress: [ 252 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 2 1/3) (+ (* (pow v 4) (pow 2 1/3)) (* (pow v 2) (pow 2 1/3)))) * * [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 (74 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (cbrt 2) (* (cbrt 2) (+ (pow v 4) (* v v)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (cbrt 2) (* (cbrt 2) (+ (pow v 4) (* v v)))))))) * * * * [misc]progress: [ 253 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (+ (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 4))) (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (- (cbrt (* -6 (* v v))) (* (cbrt (* -6 (* v v))) (- (/ 1/81 (pow v 4)) (/ (- 1/9) (* v v))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (cbrt (* -6 (* v v))) (* (cbrt (* -6 (* v v))) (- (/ 1/81 (pow v 4)) (/ (- 1/9) (* v v))))))))) * * * * [misc]progress: [ 254 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 2))) (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (- (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))) (* (+ (/ 1/81 (pow v 4)) (/ (/ 1/9 v) v)) (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))) (* (+ (/ 1/81 (pow v 4)) (/ (/ 1/9 v) v)) (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))))))))) * * * * [misc]progress: [ 255 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 2 1/3) (+ (* (pow v 4) (pow 2 1/3)) (* (pow v 2) (pow 2 1/3)))) * * [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 (74 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (cbrt 2) (* (cbrt 2) (+ (pow v 4) (* v v)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ 1 (fabs (- (cbrt 2) (* (cbrt 2) (+ (pow v 4) (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 256 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (+ (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 4))) (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ 1 v)))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (- (cbrt (* -6 (* v v))) (* (cbrt (* -6 (* v v))) (- (/ 1/81 (pow v 4)) (/ (- 1/9) (* v v))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ 1 (fabs (- (cbrt (* -6 (* v v))) (* (cbrt (* -6 (* v v))) (- (/ 1/81 (pow v 4)) (/ (- 1/9) (* v v))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 257 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 2))) (* 1/81 (/ (exp (* 1/3 (- (log -6) (* 2 (log (/ -1 v)))))) (pow v 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (- (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))) (* (+ (/ 1/81 (pow v 4)) (/ (/ 1/9 v) v)) (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (v) (* (/ 1 (fabs (- (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))) (* (+ (/ 1/81 (pow v 4)) (/ (/ 1/9 v) v)) (/ (cbrt -6) (pow (/ -1 v) (* 2 1/3))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 258 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 259 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 260 / 260 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (fabs (cbrt (- 2 (* 6 (pow v 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v 6) v))))) (/ 1 (fabs (cbrt (- 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 4075 additional inputs, on iter 1 have 3925 / 8000 * * * * [misc]points: Computing exacts on every 254 of 4075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 127 of 4075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 63 of 4075 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 4075 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 4075 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 4075 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 4075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4075 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 2012 additional inputs, on iter 2 have 5988 / 8000 * * * * [misc]points: Computing exacts on every 125 of 2012 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 2012 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 2012 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 2012 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 2012 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 2012 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2012 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 1042 additional inputs, on iter 3 have 6958 / 8000 * * * * [misc]points: Computing exacts on every 65 of 1042 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 32 of 1042 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 16 of 1042 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 1042 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 1042 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 1042 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1042 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 514 additional inputs, on iter 4 have 7486 / 8000 * * * * [misc]points: Computing exacts on every 32 of 514 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 16 of 514 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 514 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 514 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 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 514 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 109 additional inputs, on iter 6 have 7891 / 8000 * * * * [misc]points: Computing exacts on every 6 of 109 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 109 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 109 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 59 additional inputs, on iter 7 have 7941 / 8000 * * * * [misc]points: Computing exacts on every 3 of 59 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 59 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 12 additional inputs, on iter 9 have 7988 / 8000 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 10 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs