* [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 141 additional inputs, on iter 1 have 115 / 256 * * * * [misc]points: Computing exacts on every 8 of 141 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 141 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 141 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 141 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 73 additional inputs, on iter 2 have 183 / 256 * * * * [misc]points: Computing exacts on every 4 of 73 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 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 73 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 36 additional inputs, on iter 3 have 220 / 256 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 36 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 4 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 5 have 245 / 256 * * * * [misc]points: Computing exacts for 11 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 7 additional inputs, on iter 6 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 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 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* v (* v 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v 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 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v 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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in 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 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in 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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 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 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 3) PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 3) PI) in v * [misc]taylor: Taking taylor expansion of (/ 4 3) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 4 3) into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (- (/ 0 3) (+ (* 4/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 3)) (cbrt (/ 4 3))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 3)) (cbrt (/ 4 3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (/ (/ (* (cbrt (/ 4 3)) (cbrt (/ 4 3))) (/ PI (cbrt (/ 4 3)))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 12 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (/ (/ (sqrt (/ 4 3)) (/ PI (sqrt (/ 4 3)))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 13 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 3) PI)) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (321 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: [ 27 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 3) PI) (/ (/ 4 3) PI)) (/ (/ 4 3) PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 30 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 35 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 3) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 3) PI))) (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 36 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 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: [ 37 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 38 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 39 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 3) PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ (/ 4 3) PI)) (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 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: [ 40 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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: [ 41 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 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: [ 42 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (101 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: [ 43 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 44 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 4 3) (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 3) (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 45 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 4 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 3) (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 3) (/ (/ 1 PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 46 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ (/ 4 3) PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 50 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 51 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ (/ 4 3) PI) 1) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 52 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (/ (- 1 (* v v)) (cbrt (/ (/ 4 3) PI)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 53 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 3) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 3) PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ (/ 4 3) PI)) (/ (- 1 (* v v)) (sqrt (/ (/ 4 3) PI)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 54 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 4 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 4 3) (/ (- 1 (* v v)) (/ 1 PI))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 56 / 217 ] 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 (56 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 57 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 58 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 4 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 4 3) (* (- 1 (* v v)) PI)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 59 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (/ 4 3) PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (- (- (log (/ (/ 4 PI) 3)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ (/ 4 PI) 3)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 61 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (301 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: [ 62 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (/ 4 3) PI) (/ (/ 4 3) PI)) (/ (/ 4 3) PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ (/ 4 3) PI) (- 1 (* v v))) (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (- 2 (* v (* 6 v)))) (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 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)))) (- 2 (* v (* 6 v)))) (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 65 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (/ 4 3) PI) (- 1 (* v v))) (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (/ 4 3) PI) (- 1 (* v v))) (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (/ (sqrt (- 2 (* (* v v) 6))) (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (- 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)))) (/ (sqrt (- 2 (* (* v v) 6))) (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 66 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (154 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 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 71 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (139 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 3) PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 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: [ 72 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (137 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 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 73 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (130 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))))) (sqrt 1)) (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 74 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (137 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 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 75 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 PI) 3) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ (/ 4 PI) 3) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 PI) 3) (- 1 (* v v))))) (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (130 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))))) (/ (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 76 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (134 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 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 77 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (133 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 3) PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 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: [ 78 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 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 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 79 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (104 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 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 80 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 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 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 81 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (130 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: [ 82 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (331 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 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 83 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (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: [ 84 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 85 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 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 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 86 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 87 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 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: [ 88 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (111 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))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (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 (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: [ 89 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (94 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 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (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: [ 90 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 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 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (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)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 91 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 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 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 92 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 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 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (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)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 93 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* PI 3))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) 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))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 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 (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 94 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (261 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 3) PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 PI) 3)) (- 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 PI) 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 95 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 PI) 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 PI) 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 96 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 PI) 3)) (- 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 (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 PI) 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 97 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (134 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 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (203 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: [ 98 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (/ 4 PI) 3)) (- 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 (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ (/ 4 PI) 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 99 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (203 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: [ 100 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (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))))) (* (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: [ 101 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ (/ 4 PI) 3)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ (/ 4 PI) 3)) (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 (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ (/ 4 PI) 3)) (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: [ 102 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 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 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (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 (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 103 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 PI) 3)) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ (/ 4 PI) 3)) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 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 1)) (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 104 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 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 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (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 (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 105 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) 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))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 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 (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 106 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* PI 3))) (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 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 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)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 107 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (61 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 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 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 (- 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: [ 108 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 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 (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 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 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 (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 109 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 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 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 110 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 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 (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 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 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 (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 111 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 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 (- 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: [ 112 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 PI) 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ (/ 4 PI) 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 113 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (58 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 3) PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 PI) 3)) (- 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 PI) 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 114 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 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 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 PI) 3)) (- 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 PI) 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 115 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 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 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (203 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: [ 116 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 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 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 PI) 3)) (- 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 PI) 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 117 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 3) PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 3) PI)) (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (203 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: [ 118 / 217 ] 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 (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 119 / 217 ] 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 3) PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 120 / 217 ] 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 3) PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 121 / 217 ] 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 3) PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (154 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: [ 122 / 217 ] 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 3) PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 123 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (154 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: [ 124 / 217 ] 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 3) PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 125 / 217 ] 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 3) PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 126 / 217 ] 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 3) PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 127 / 217 ] 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 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (154 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: [ 128 / 217 ] 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 3) PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 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: [ 129 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (154 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: [ 130 / 217 ] 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 3) PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (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 PI) (- 1 (* v v))) 3) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 131 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 132 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 133 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 134 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 135 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 136 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (* (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 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (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 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 137 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 138 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (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 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 139 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 140 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (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 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 141 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 142 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 143 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 144 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 145 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 146 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 147 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 3) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 3) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 148 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (* (cbrt (sqrt (- 2 (* v (* 6 v))))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 3) (* (cbrt (sqrt (- 2 (* v (* 6 v))))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 3) (* (cbrt (sqrt (- 2 (* v (* 6 v))))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 149 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 3) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 3) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 150 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 151 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 3) (sqrt 1)) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 3) (sqrt 1)) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 152 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 153 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 4 3) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 3) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 3) (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 154 / 217 ] 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 3) PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (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 PI) (- 1 (* v v))) 3) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 155 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 156 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 157 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 158 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 159 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 160 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (- 2 (* v (* 6 v)))))) (* (cbrt (sqrt (- 2 (* v (* 6 v))))) (* PI 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* v (* 6 v)))))) (* (cbrt (sqrt (- 2 (* v (* 6 v))))) (* PI 3))) (/ (/ 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 3) PI) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 161 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* PI 3)) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* PI 3)) (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 (* PI 3)) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 162 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (70 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 3) PI) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 163 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 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 (138 enodes) * * [misc]simplify: iters left: 1 (169 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) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 164 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (70 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 3) PI) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 165 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 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 (138 enodes) * * [misc]simplify: iters left: 1 (169 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: [ 166 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* PI 3)) (- 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 (* PI 3)) (- 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 (100 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 (* PI 3)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 167 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (466 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 (100 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (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) (* v v)) (+ (* v v) 1)) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 168 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (483 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 (100 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 169 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* PI 3)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* PI 3)) (- 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 (81 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (325 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) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 170 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (483 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 (100 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 171 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* PI 3)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* PI 3)) (- 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 (81 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (325 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)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 172 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (* (- 1 (* (* v v) (* v v))) PI) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (* (- 1 (* (* v v) (* v v))) PI) (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) (cbrt (sqrt (- 2 (* (* v 6) v))))) (* (* (- 1 (* (* v v) (* v v))) PI) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 173 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (330 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: [ 174 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (354 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: [ 175 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (sqrt 1)) 3) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 PI) (sqrt 1)) 3) (- 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 PI) (sqrt 1)) 3) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 176 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (354 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: [ 177 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) 3) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 PI) 3) (- 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 PI) 3) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 178 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 179 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 180 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 181 / 217 ] 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 3) PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 182 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 183 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 184 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 185 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 186 / 217 ] 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 3) PI) (- 1 (* v v))) 1) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 187 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (cbrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))))) * * * * [misc]progress: [ 188 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (sqrt (/ (/ (/ 4 3) PI) (- 1 (* v v))))))) * * * * [misc]progress: [ 189 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 190 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 3) PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (cbrt (/ (/ 4 3) PI))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 191 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ 4 3) PI)) (cbrt (/ (/ 4 3) PI))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ (/ 4 3) PI)) (- 1 (* v v)))))) * * * * [misc]progress: [ 192 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ (/ 4 3) PI)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 193 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ (/ 4 3) PI)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 194 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 3) PI)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 3) PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 3) PI)) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ (/ 4 3) PI)) (- 1 (* v v)))))) * * * * [misc]progress: [ 195 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ (/ 4 3) PI) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 196 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 197 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ (/ 4 3) PI) (- 1 (* v v)))))) * * * * [misc]progress: [ 198 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (/ 4 3) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 199 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4 3) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 3) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 200 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 4 3) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 3) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 PI) (- 1 (* v v)))))) * * * * [misc]progress: [ 201 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 202 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 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: [ 203 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (307 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: [ 204 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 3) PI) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) 3) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (/ 4 PI) 3) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (+ 1 (* v v))))) * * * * [misc]progress: [ 205 / 217 ] 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 (160 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (* v v) (* 6 2)) (* 2 2)) (* (* (* v v) 6) (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3)))) (sqrt (+ (+ (* (* v v) (* 6 2)) (* 2 2)) (* (* (* v v) 6) (* (* v v) 6)))))) * * * * [misc]progress: [ 206 / 217 ] 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 3) PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6)))))) (sqrt (+ 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 207 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 3) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 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: [ 208 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2) to (λ (v) (/ (/ (/ (/ 4 PI) (- 1 (* v v))) 3) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 209 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 210 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 211 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ (/ 4 3) PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 212 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (+ (* v v) (pow v 4)) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (+ (* v v) (pow v 4)) (/ 4/3 PI))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 213 / 217 ] 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 (297 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 214 / 217 ] 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 (297 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 215 / 217 ] 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 (+ (+ (* (/ 4/3 (sqrt 2)) (+ (/ 1 PI) (/ (pow v 4) PI))) (+ (* (/ (pow v 4) (sqrt 2)) (/ 4 (* PI 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5)))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (* (/ 4/3 (sqrt 2)) (+ (/ 1 PI) (/ (pow v 4) PI))) (+ (* (/ (pow v 4) (sqrt 2)) (/ 4 (* PI 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5)))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2)))))) * * * * [misc]progress: [ 216 / 217 ] 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)) (* (sqrt -6) (* PI v)))) (+ (/ (/ (/ 2 (pow v 7)) PI) (pow (sqrt -6) 5)) (* (/ (/ 1 PI) (sqrt -6)) (+ (/ 4/3 (pow v 5)) (/ 4/3 (pow v 7)))))) * [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)) (* (sqrt -6) (* PI v)))) (+ (/ (/ (/ 2 (pow v 7)) PI) (pow (sqrt -6) 5)) (* (/ (/ 1 PI) (sqrt -6)) (+ (/ 4/3 (pow v 5)) (/ 4/3 (pow v 7))))))) * * * * [misc]progress: [ 217 / 217 ] 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 PI) (pow (sqrt -6) 5)) (pow v 7)) (+ (/ (/ 4/3 (sqrt -6)) (* (* v v) (* v PI))) (/ (/ 4/3 (sqrt -6)) (* PI (pow v 5))))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (sqrt -6)) (* PI (pow v 7))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (/ (/ (/ 2 PI) (pow (sqrt -6) 5)) (pow v 7)) (+ (/ (/ 4/3 (sqrt -6)) (* (* v v) (* v PI))) (/ (/ 4/3 (sqrt -6)) (* PI (pow v 5))))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (sqrt -6)) (* PI (pow v 7)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) in v * [misc]taylor: Rewrote expression to (pow (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) 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 (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 3 (log (/ 4/3 PI))) into (* 3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 3) * [misc]backup-simplify: Simplify (log (pow (/ 4/3 PI) 3)) into (log (pow (/ 4/3 PI) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (/ 4/3 PI) 3))) into (* 1/3 (log (pow (/ 4/3 PI) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (/ 4/3 PI) 3)))) into (pow (pow (/ 4/3 PI) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) in v * [misc]taylor: Rewrote expression to (pow (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) 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 (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 3 (log (/ 4/3 PI))) into (* 3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 3) * [misc]backup-simplify: Simplify (log (pow (/ 4/3 PI) 3)) into (log (pow (/ 4/3 PI) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (/ 4/3 PI) 3))) into (* 1/3 (log (pow (/ 4/3 PI) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (/ 4/3 PI) 3)))) into (pow (pow (/ 4/3 PI) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (/ 4/3 PI) 3) 1/3) into (pow (pow (/ 4/3 PI) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ 4/3 PI) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (/ 4/3 PI) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (/ 4/3 PI) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into (/ 64/9 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ 4/3 PI) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 64/9 (pow PI 3))) 1)) (pow (pow (/ 4/3 PI) 3) 1)))) 2) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (log (pow (/ 4/3 PI) 3))))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (/ 4/3 PI) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (* (pow 64/27 1/3) (/ 1 PI)) * [misc]backup-simplify: Simplify (* (pow 64/27 1/3) (/ 1 PI)) into (* (pow 64/27 1/3) (/ 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ 4/3 PI) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 64/9 (pow PI 3))) 1)) (pow (pow (/ 4/3 PI) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ 4/3 PI) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (log (pow (/ 4/3 PI) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (/ 4/3 PI) 3)))) (+ (* (/ (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 3/2 1) 1)))) into (/ 128/9 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ 4/3 PI) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 64/9 (pow PI 3))) 1)) (pow (pow (/ 4/3 PI) 3) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 64/9 (pow PI 3))) 2)) (pow (pow (/ 4/3 PI) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ 4/3 PI) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ 128/9 (pow PI 3))) 1)) (pow (pow (/ 4/3 PI) 3) 1)))) 24) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (log (pow (/ 4/3 PI) 3))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (/ 4/3 PI) 3)))) (+ (* (/ (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 1/2 1) 1)))) into (* (pow 64/27 1/3) (/ 1 PI)) * [misc]backup-simplify: Simplify (* (pow 64/27 1/3) (/ 1 PI)) into (* (pow 64/27 1/3) (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* (* (pow 64/27 1/3) (/ 1 PI)) (pow v 4)) (+ (* (* (pow 64/27 1/3) (/ 1 PI)) (pow v 2)) (pow (pow (/ 4/3 PI) 3) 1/3))) into (+ (pow (pow (/ 4/3 PI) 3) 1/3) (+ (* (/ (pow v 2) PI) (pow 64/27 1/3)) (* (pow 64/27 1/3) (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3)) in v * [misc]taylor: Rewrote expression to (pow (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3))) 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 (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3)) in v * [misc]taylor: Rewrote expression to (pow (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3))) 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 (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 2) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 3/2 1) 1)))) into (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 2)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 24) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (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 1/2 1) 1)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))) (pow (/ 1 v) 4)) (+ (* (exp (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))) (pow (/ 1 v) 2)) (exp (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) into (+ (/ (exp (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v))))) (pow v 4)) (+ (exp (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v))))) (/ (exp (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v))))) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3)) in v * [misc]taylor: Rewrote expression to (pow (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3))) 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 (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3)) in v * [misc]taylor: Rewrote expression to (pow (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3)))) in v * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3))) 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 (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3)) in v * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 2) into 3 * [misc]backup-simplify: Simplify (+ (* 1/3 3) (+ (* 0 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 3) (+ (* 0 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 3/2 1) 1)))) into (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 2)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) 1)) (pow (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) 1)))) 24) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (+ (* 0 0) (+ (* 0 3) (+ (* 0 0) (* 0 (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) (+ (* (/ (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 1/2 1) 1)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (exp (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))) (pow (/ 1 (- v)) 4)) (+ (* (exp (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))) (pow (/ 1 (- v)) 2)) (exp (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) into (+ (/ (exp (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI)))) (pow v 2)) (+ (/ (exp (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI)))) (pow v 4)) (exp (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 3 (log (/ 4/3 PI))) into (* 3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 3) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (log (/ 4/3 PI)) into (log (/ 4/3 PI)) * [misc]backup-simplify: Simplify (* 3 (log (/ 4/3 PI))) into (* 3 (log (/ 4/3 PI))) * [misc]backup-simplify: Simplify (exp (* 3 (log (/ 4/3 PI)))) into (pow (/ 4/3 PI) 3) * [misc]backup-simplify: Simplify (pow (/ 4/3 PI) 3) into (pow (/ 4/3 PI) 3) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (/ 4/3 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into (/ 64/9 (pow PI 3)) * [misc]backup-simplify: Simplify (/ 64/9 (pow PI 3)) into (/ 64/9 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 4/3 (/ 1 PI))) 2)) (pow (/ 4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4/3 (/ 1 PI))) 1)) (pow (/ 4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* 3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (log (/ 4/3 PI))))))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (/ 4/3 PI)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 3/2 1) 1)))) into (/ 128/9 (pow PI 3)) * [misc]backup-simplify: Simplify (/ 128/9 (pow PI 3)) into (/ 128/9 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* (/ 128/9 (pow PI 3)) (pow v 4)) (+ (* (/ 64/9 (pow PI 3)) (pow v 2)) (pow (/ 4/3 PI) 3))) into (+ (* 64/27 (/ 1 (pow PI 3))) (+ (* 64/9 (/ (pow v 2) (pow PI 3))) (* 128/9 (/ (pow v 4) (pow PI 3))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 3/2 1) 1)))) into (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 6 (exp (* 3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 4)) (+ (* (* 3 (exp (* 3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI)))))) (pow (/ 1 v) 2)) (exp (* 3 (+ (* 2 (log (/ 1 v))) (log (/ -4/3 PI))))))) into (+ (* 6 (/ (exp (* 3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) (pow v 4))) (+ (exp (* 3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) (* 3 (/ (exp (* 3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) (pow v 2))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3) in (v) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) 3) in v * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (log (/ -4/3 PI)) into (log (/ -4/3 PI)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) into (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -4/3 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into 3 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 3 1) 1)))) into (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 3 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ -4/3 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 4/3 (/ 1 PI)))) 2)) (pow (/ -4/3 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ -4/3 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4/3 (/ 1 PI)))) 1)) (pow (/ -4/3 PI) 1)))) 24) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -2) (log v)) (log (/ -4/3 PI))) into (+ (* 2 (log v)) (log (/ -4/3 PI))) * [misc]backup-simplify: Simplify (+ (* 3 1/2) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (+ (* 2 (log v)) (log (/ -4/3 PI)))))))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 3 2) 2)) (* (/ (pow 3/2 1) 1)))) into (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) into (* 6 (exp (* 3 (+ (* 2 (log v)) (log (/ -4/3 PI)))))) * [misc]backup-simplify: Simplify (+ (* (* 6 (exp (* 3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 4)) (+ (* (* 3 (exp (* 3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI)))))) (pow (/ 1 (- v)) 2)) (exp (* 3 (+ (* 2 (log (/ 1 (- v)))) (log (/ -4/3 PI))))))) into (+ (exp (* 3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (+ (* 3 (/ (exp (* 3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (* 6 (/ (exp (* 3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))))) * * * * [misc]progress: [ 3 / 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: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (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: simplifying candidates * * * * [misc]progress: [ 1 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (pow (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 6 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 7 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (pow (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 8 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (cbrt (pow (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 9 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (260 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 (pow (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 10 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (439 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)))) (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 11 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (323 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)))) (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 12 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 13 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (476 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)))) (cbrt (pow (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 14 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (cbrt (pow (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 15 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 16 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (434 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))))) (cbrt (pow (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 17 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (cbrt (pow (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 18 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 1) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4 (cbrt (pow (/ (/ 1 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 19 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt 1) (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 20 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 (* PI 3)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (* 3 PI)) (cbrt (pow (/ 1 (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 21 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (pow (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 22 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (pow (+ 1 (* v v)) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 23 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 24 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 25 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (pow (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 26 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 27 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (cbrt (pow (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 28 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (cbrt (pow (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 29 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (260 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 (pow (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 30 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (439 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)))) (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 31 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (323 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)))) (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 32 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (cbrt (pow (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 33 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (476 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)))) (cbrt (pow (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 34 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (cbrt (pow (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 35 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 36 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (434 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))))) (cbrt (pow (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 37 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 (sqrt (- 1 (* v v)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (cbrt (pow (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 38 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 1) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4 (cbrt (pow (/ (/ 1 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 39 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt 1) (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 40 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 (* PI 3)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (* 3 PI)) (cbrt (pow (/ 1 (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 41 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (pow (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 42 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (cbrt (pow (+ 1 (* v v)) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 43 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 44 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt (sqrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3))) (cbrt (sqrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 45 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (cbrt 1) (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 46 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 4 (* PI 3)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (cbrt (pow (- 1 (* v v)) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 47 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 50 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (exp (* (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 53 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3) * * [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 (84 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (* 3 (log (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (exp (* 3 (log (/ (/ 4 (* 3 PI)) (- 1 (* v v))))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 54 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (* 1 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 56 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 57 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 58 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 59 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (pow (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 60 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (pow (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 61 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (- 1 (* v v)) (sqrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (- 1 (* v v)) (sqrt (/ 4 (* 3 PI))))) (pow (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 62 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (* 3 PI)))) (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 63 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ 4 (* PI 3))) 1) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 (* 3 PI))) (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (sqrt (/ 4 (* 3 PI))) (/ 4 (* 3 PI))) (pow (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 64 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (496 enodes) * [exit]simplify: Simplified to (* (/ 1 (- 1 (* v v))) (/ 1 (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 1 (- 1 (* v v))) (/ 1 (- 1 (* v v)))) (pow (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 65 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ 1 (- 1 (* v v))) (sqrt (- 1 (* v v)))) (pow (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 66 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 1) 3) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* 1 (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 67 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (/ (/ (* 4 4) (- 1 (* v v))) (/ (- 1 (* v v)) 4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (* 4 4) (- 1 (* v v))) (/ (- 1 (* v v)) 4)) (pow (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 68 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (pow 4 3) (- 1 (* v v))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (pow 4 3) (- 1 (* v v))) (sqrt (- 1 (* v v)))) (pow (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 69 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 1) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (pow 4 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow 4 3) (pow (/ (/ 1 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 70 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* 1 (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 71 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 (* PI 3)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ 4 (* 3 PI)) 3) (pow (/ 1 (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 72 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) 3) (pow (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 73 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) 3) (pow (+ 1 (* v v)) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 74 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 81 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 82 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (pow (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 83 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (pow (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 84 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 4 (* 3 PI)) (/ 4 (* 3 PI))) (pow (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 85 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (- 1 (* v v)) (sqrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (- 1 (* v v)) (sqrt (/ 4 (* 3 PI))))) (pow (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 86 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (/ (sqrt (- 1 (* v v))) (/ 4 (* 3 PI)))) (pow (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 87 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (/ 4 (* PI 3))) 1) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 (* 3 PI))) (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (sqrt (/ 4 (* 3 PI))) (/ 4 (* 3 PI))) (pow (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 88 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (496 enodes) * [exit]simplify: Simplified to (* (/ 1 (- 1 (* v v))) (/ 1 (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ 1 (- 1 (* v v))) (/ 1 (- 1 (* v v)))) (pow (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 89 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ 1 (- 1 (* v v))) (sqrt (- 1 (* v v)))) (pow (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 90 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 1) 3) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* 1 (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 91 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (/ (/ (* 4 4) (- 1 (* v v))) (/ (- 1 (* v v)) 4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (* 4 4) (- 1 (* v v))) (/ (- 1 (* v v)) 4)) (pow (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 92 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 (sqrt (- 1 (* v v)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (pow 4 3) (- 1 (* v v))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (/ (/ (pow 4 3) (- 1 (* v v))) (sqrt (- 1 (* v v)))) (pow (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 93 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 1) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (pow 4 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow 4 3) (pow (/ (/ 1 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 94 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* 1 (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 95 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 (* PI 3)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ 4 (* 3 PI)) 3) (pow (/ 1 (- 1 (* v v))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 96 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) 3) (pow (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 97 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (pow (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) 3) (pow (+ 1 (* v v)) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 98 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 4 (* PI 3)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (pow (- 1 (* v v)) 3))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 99 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (/ 4 (* 3 PI)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (/ (pow (/ 4 (* 3 PI)) 3) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 101 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 102 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 158 ] 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 (296 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 115 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 118 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 123 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 124 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 125 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 126 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 127 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 128 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 129 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 130 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* 1 (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 131 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 132 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 133 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))) 3)) (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 1 1 2) to (λ (v) (/ (cbrt (pow (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 134 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (pow (/ (/ (/ 4 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 138 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (pow (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 139 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (pow (/ (/ (/ 4 (* PI 3)) 1) (- 1 (* v v))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 140 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 141 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (v) (/ (cbrt (pow (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 142 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 158 ] 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 (56 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 145 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (v) (/ (cbrt (pow (* (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 146 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (pow (/ 4/3 PI) 3) 1/3) (+ (* (/ (pow v 2) PI) (pow 64/27 1/3)) (* (pow 64/27 1/3) (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (+ (* (/ v PI) v) (/ (pow v 4) PI)) (cbrt 64/27))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (+ (* (/ v PI) v) (/ (pow v 4) PI)) (cbrt 64/27))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 148 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (exp (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v))))) (pow v 4)) (+ (exp (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v))))) (/ (exp (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v))))) (pow v 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 v) v) (+ (/ (/ -4/3 PI) (pow v 4)) (+ (/ -4/3 PI) (/ (/ -4/3 PI) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (/ 1 v) v) (+ (/ (/ -4/3 PI) (pow v 4)) (+ (/ -4/3 PI) (/ (/ -4/3 PI) (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 149 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (exp (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI)))) (pow v 2)) (+ (/ (exp (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI)))) (pow v 4)) (exp (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ -1 v) (* (/ -4/3 PI) (/ -1 v))) (/ (* (/ -4/3 PI) (/ -1 v)) (/ (pow v 4) (/ -1 v)))) (* (/ (/ -4/3 PI) (* v v)) (* (/ -1 v) (/ -1 v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (+ (* (/ -1 v) (* (/ -4/3 PI) (/ -1 v))) (/ (* (/ -4/3 PI) (/ -1 v)) (/ (pow v 4) (/ -1 v)))) (* (/ (/ -4/3 PI) (* v v)) (* (/ -1 v) (/ -1 v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 150 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 64/27 (/ 1 (pow PI 3))) (+ (* 64/9 (/ (pow v 2) (pow PI 3))) (* 128/9 (/ (pow v 4) (pow PI 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 64/27 PI) (* PI PI)) (/ (/ (pow v 4) PI) (/ (* PI PI) 128/9))) (/ (/ 64/9 (/ PI v)) (* (/ PI v) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (+ (+ (/ (/ 64/27 PI) (* PI PI)) (/ (/ (pow v 4) PI) (/ (* PI PI) 128/9))) (/ (/ 64/9 (/ PI v)) (* (/ PI v) PI)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 151 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 6 (/ (exp (* 3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) (pow v 4))) (+ (exp (* 3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) (* 3 (/ (exp (* 3 (+ (log (/ -4/3 PI)) (* 2 (log (/ 1 v)))))) (pow v 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (pow (/ 1 v) (* 2 3)) (pow (/ -4/3 PI) 3)) (+ (/ 6 (pow v 4)) (/ (/ 3 v) v))) (* (pow (/ 1 v) (* 2 3)) (pow (/ -4/3 PI) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (+ (* (* (pow (/ 1 v) (* 2 3)) (pow (/ -4/3 PI) 3)) (+ (/ 6 (pow v 4)) (/ (/ 3 v) v))) (* (pow (/ 1 v) (* 2 3)) (pow (/ -4/3 PI) 3)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 152 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* 3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (+ (* 3 (/ (exp (* 3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 2))) (* 6 (/ (exp (* 3 (+ (* 2 (log (/ -1 v))) (log (/ -4/3 PI))))) (pow v 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (+ (* (pow (/ -1 v) (* 3 2)) (pow (/ -4/3 PI) 3)) (* (* (pow (/ -1 v) (* 3 2)) (pow (/ -4/3 PI) 3)) (+ (/ (/ 3 v) v) (/ 6 (pow v 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (+ (* (pow (/ -1 v) (* 3 2)) (pow (/ -4/3 PI) 3)) (* (* (pow (/ -1 v) (* 3 2)) (pow (/ -4/3 PI) 3)) (+ (/ (/ 3 v) v) (/ 6 (pow v 4)))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 153 / 158 ] 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) (/ (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 154 / 158 ] 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) (/ (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 155 / 158 ] 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) (/ (cbrt (pow (/ (/ 4 (* PI 3)) (- 1 (* v v))) 3)) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 156 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (+ (* v v) (pow v 4)) (/ 4/3 PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (pow (+ (/ 4/3 PI) (* (+ (* v v) (pow v 4)) (/ 4/3 PI))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 157 / 158 ] 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 (297 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (pow (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 158 / 158 ] 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 (297 enodes) * [exit]simplify: Simplified to (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (v) (/ (cbrt (pow (- (- (/ (/ 4/3 PI) (pow v 4))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (pow v 6)))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 1 branch expressions: (v) * * * * [misc]regimes: Trying to branch on v from (# #) * * * [misc]regime: Found split indices: #