* [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 131 additional inputs, on iter 1 have 125 / 256 * * * * [misc]points: Computing exacts on every 8 of 131 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 131 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 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 131 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 60 additional inputs, on iter 2 have 196 / 256 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 60 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 3 have 231 / 256 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 4 have 244 / 256 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* v (* v 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* v (* v 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* v (* v 6)) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v 6) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 0 6) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt 2) PI)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 4/3 (* (sqrt 2) PI)))) into (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (* (/ 1 v) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (* 1 6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (* (/ 1 (- v)) 6)) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 6) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (* -1 6) into -6 * [misc]backup-simplify: Simplify (* -1 -6) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -6)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- 2 (* v (* v 6))) in (v) around 0 * [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]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 2 into 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 6) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify -6 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) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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) 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) 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) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -6 (pow v 2)) 2) into (- 2 (* 6 (pow v 2))) * [misc]approximate: Taking taylor expansion of (- 2 (* (/ 1 v) (* (/ 1 v) 6))) in (v) around 0 * [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]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 -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) 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 (+ 0 0) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 (+ 0 0) 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)) (* 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 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)) (* 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 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 into 0 * [misc]backup-simplify: Simplify (+ 2 (* -6 (pow (/ 1 (/ 1 v)) 2))) into (- 2 (* 6 (pow v 2))) * [misc]approximate: Taking taylor expansion of (- 2 (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in (v) around 0 * [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]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 -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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 0) 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 (+ 0 0) 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 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 (+ 0 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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)) (* 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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)) (* 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 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 into 0 * [misc]backup-simplify: Simplify (+ 2 (* -6 (pow (/ 1 (/ 1 (- v))) 2))) into (- 2 (* 6 (pow v 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 12 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 13 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 16 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (* v (* v 6)))) (sqrt (- 2 (* v (* v 6))))) (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (* (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (- 2 (* (* v v) 6)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 17 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 22 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 23 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 24 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 25 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 26 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 27 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 28 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 29 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 30 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 31 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 32 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 33 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 34 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 35 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 36 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 37 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 38 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 39 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 40 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 41 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 42 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 43 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 44 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 45 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 46 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 47 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 48 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 49 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 50 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 51 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 52 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 53 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 54 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 55 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 56 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 57 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 58 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 59 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 60 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 61 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 62 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 63 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 64 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 65 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 66 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 67 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 68 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 69 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 70 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 71 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 72 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (sqrt 1)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 73 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 74 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 75 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 76 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 77 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 78 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 79 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 80 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 81 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 82 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 83 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 84 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 85 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 86 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 87 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 88 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 89 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 90 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 91 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 92 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 93 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 94 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 95 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 96 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 97 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 98 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 99 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 100 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 101 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 102 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 103 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 104 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 105 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 106 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 107 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 108 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 109 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 110 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (* 1 (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 111 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 112 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 113 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 114 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt 1)) PI) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 115 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 116 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 117 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 118 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 119 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 120 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 121 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 122 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 123 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 124 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 125 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 126 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 127 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 128 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 129 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 132 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 133 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* v (* v 6)))) (cbrt (- 2 (* v (* v 6))))))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 134 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 135 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 136 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (* v (* v 6))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 137 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 138 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 139 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 140 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 141 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 142 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 143 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 144 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 145 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4 (* 3 PI))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 146 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 147 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 1 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 148 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 1 (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 149 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 150 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 151 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 4 (/ (sqrt (- 2 (* v (* v 6)))) (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 152 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (/ (sqrt (- 2 (* v (* v 6)))) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 154 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (- 2 (* v (* v 6)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 155 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (* v (* v 6)))) (+ 1 (* v v))))) * * * * [misc]progress: [ 156 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* v (* v 6)) (* v (* v 6))) (* 2 (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* v (* v 6)) 3)))) (sqrt (+ (* (* (* v v) 6) (* (* v v) 6)) (+ (* (* v v) (* 6 2)) (* 2 2)))))) * * * * [misc]progress: [ 157 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* v (* v 6)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* 6 v) v))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* v (* v 6)) (* v (* v 6)))))) (sqrt (+ 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 158 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (* (sqrt (- 2 (* v (* v 6)))) (- 1 (* v v))))) * * * * [misc]progress: [ 159 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 161 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 164 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 168 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 169 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 170 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 171 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 172 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 173 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 174 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 175 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 176 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 1 (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 177 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 178 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 179 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 180 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 181 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 183 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 184 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 185 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) 1) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 186 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 187 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 188 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 189 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 190 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 191 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* v v)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 192 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 193 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 194 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 195 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 196 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 197 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 198 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 199 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 200 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 201 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 202 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 203 / 215 ] simplifiying candidate # * * * * [misc]progress: [ 204 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 205 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 206 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 (pow v 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* v v) 6) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 207 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2)))))) * * * * [misc]progress: [ 208 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6)))) (+ (/ 2 (* (pow (sqrt -6) 5) (* (pow v 7) PI))) (+ (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))))) * * * * [misc]progress: [ 209 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 7) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 5) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow v 3) (* (sqrt -6) PI)))) (* 2 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) PI))))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 3) PI)))) (* 4/3 (/ 1 (* (pow v 5) (* (pow (sqrt -6) 3) PI)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6))))) * [misc]simplify: Simplified (2) to (λ (v) (- (+ (/ (/ 2 (pow v 7)) (* (pow (sqrt -6) 5) PI)) (+ (/ (/ (/ 4/3 v) (* v v)) (* PI (sqrt -6))) (/ (/ 4/3 (pow v 5)) (* PI (sqrt -6))))) (- (+ (/ (/ 4/3 (pow v 5)) (* (sqrt -6) (* PI -6))) (/ (/ 4/3 (pow v 7)) (* (sqrt -6) (* PI -6)))) (/ (/ 4/3 (pow v 7)) (* PI (sqrt -6)))))) * * * * [misc]progress: [ 210 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 211 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 212 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (- 2 (* v (* v 6)))))) * * * * [misc]progress: [ 213 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2 (* 6 (pow v 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- 2 (* (* v v) 6)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 214 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2 (* 6 (pow v 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- 2 (* (* v v) 6)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 215 / 215 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2 (* 6 (pow v 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- 2 (* (* v v) 6)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (log (exp (* v (* v 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* v (* v 6))) in v * [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 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* v (* v 6))) in v * [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 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 6 1) 1)))) into 6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 6) 1)) (pow 1 1)))) 2) 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 (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 6 2) 2)) (* (/ (pow 0 1) 1)))) into 18 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 18) 1)) (pow 1 1)))) 24) 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 (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 6 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 6 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 6) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 6) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 18) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 6 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 6 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 6 3) 6)) (* (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 36 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 6) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 6) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 6) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 18) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 6) 1) 1 (pow (* 24 18) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 36) 1)) (pow 1 1)))) 720) 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 (* (exp 0) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 6 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 6 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 6 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 6 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 6) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 6) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 6) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 18) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 6) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 1) 1 (pow (* 24 18) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 18) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 6) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 36) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) 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 (* (exp 0) (+ (* (/ (pow 0 8) 40320)) (* (/ (pow 0 6) 720) (/ (pow 6 1) 1)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 6 2) 2)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 6 3) 6)) (* (/ (pow 0 2) 2) (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 6 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 6 4) 24)) (* (/ (pow 6 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 6 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 6 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 54 * [misc]backup-simplify: Simplify (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow 1 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 6) 1)) (pow 1 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 6) 2)) (pow 1 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow 1 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 6) 3)) (pow 1 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 6) 1) (pow (* 6 0) 1)) (pow 1 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 18) 1)) (pow 1 5))) (* -630 (/ (* 1 (pow (* 2 6) 4)) (pow 1 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 2) (pow (* 6 0) 1)) (pow 1 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow 1 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 6) 1) 1 (pow (* 24 18) 1)) (pow 1 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow 1 4))) (* 560 (/ (* 1 (pow (* 2 6) 1) (pow (* 6 0) 2)) (pow 1 3))) (* 420 (/ (* 1 (pow (* 2 6) 2) 1 (pow (* 24 18) 1)) (pow 1 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 18) 1)) (pow 1 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 1) 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 36) 1)) (pow 1 3))) (* -35 (/ (* 1 1 1 (pow (* 24 18) 2)) (pow 1 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow 1 2))) (* -28 (/ (* 1 (pow (* 2 6) 1) 1 1 1 (pow (* 720 36) 1)) (pow 1 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 54) 1)) (pow 1 1)))) 40320) 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 (log (exp (* (/ 1 v) (* (/ 1 v) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 v) (* (/ 1 v) 6))) in v * [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 (exp (* (/ 1 v) (* (/ 1 v) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]taylor: Taking taylor expansion of (log (exp (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 v) (* (/ 1 v) 6))) in v * [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 (exp (* (/ 1 v) (* (/ 1 v) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (/ 6 (pow v 2)) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 6 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 6 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 6 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 6 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 6 (pow (/ 1 v) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [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 (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]taylor: Taking taylor expansion of (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [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 (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (/ 6 (pow v 2)) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 6 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 6 (pow v 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 6 (pow v 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 6 (pow v 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 6 (pow (/ 1 (- v)) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 1) * [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) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (log (exp (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (log (exp (* 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 (log (exp (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* v (* v 6))) in v * [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 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (log (exp (* v (* v 6)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (log (exp (* 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 (log (exp (* v (* v 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* v (* v 6))) in v * [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 0) (* 1 6)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 6) (* 1 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt 2) PI)) into (/ 4/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 6 1) 1)))) into 6 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 6) 1)) (pow 1 1)))) 2) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 6) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 6) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 6 2) 2)) (* (/ (pow 0 1) 1)))) into 18 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 18) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 4/3 (* (sqrt 2) PI)))) into (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (log (exp (* (/ 1 v) (* (/ 1 v) 6))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (log (exp (* (/ 1 v) (* (/ 1 v) 6))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (log (exp (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (log (exp (* (/ 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 (log (exp (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 v) (* (/ 1 v) 6))) in v * [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 (exp (* (/ 1 v) (* (/ 1 v) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 6 (pow v 2))) into (- (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 2 (- (* 6 (/ 1 (pow v 2))))) into (- 2 (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) into (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) into (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (log (exp (* (/ 1 v) (* (/ 1 v) 6))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (log (exp (* (/ 1 v) (* (/ 1 v) 6)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (log (exp (* (/ 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 (log (exp (* (/ 1 v) (* (/ 1 v) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 v) (* (/ 1 v) 6))) in v * [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 (exp (* (/ 1 v) (* (/ 1 v) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 6 (pow v 2))) into (- (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 2 (- (* 6 (/ 1 (pow v 2))))) into (- 2 (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) into (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) into (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) * [misc]backup-simplify: Simplify (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) into (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 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 0)))) (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (exp (/ 6 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow (/ 1 v) 2)))))) (/ 1 PI)))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow (/ 1 v) 2)))))) (/ 1 PI)))) (pow (/ 1 v) 4)) (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow (/ 1 v) 2)))))) (/ 1 PI))) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (* (/ 1 (* (pow v 4) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (+ (* 4/3 (* (/ 1 (* (pow v 6) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (* 4/3 (* (/ 1 (* (pow v 2) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (log (exp (* (/ 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 (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [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 (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 6 (pow v 2))) into (- (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 2 (- (* 6 (/ 1 (pow v 2))))) into (- 2 (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) into (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) into (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (log (exp (* (/ 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 (log (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6)))) in v * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) in v * [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 (exp (* (/ 1 (- v)) (* (/ 1 (- v)) 6))) into (exp (/ 6 (pow v 2))) * [misc]backup-simplify: Simplify (log (exp (/ 6 (pow v 2)))) into (/ 6 (pow v 2)) * [misc]backup-simplify: Simplify (- (/ 6 (pow v 2))) into (- (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (+ 2 (- (* 6 (/ 1 (pow v 2))))) into (- 2 (* 6 (/ 1 (pow v 2)))) * [misc]backup-simplify: Simplify (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) into (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) into (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) * [misc]backup-simplify: Simplify (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) into (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 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 0)))) (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (exp (/ 6 (pow v 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 6 (pow v 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 6 (pow v 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 6 (pow v 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 6 (pow v 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt (- 2 (* 6 (/ 1 (pow v 2)))))) (+ (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))) (* 0 (/ 0 (sqrt (- 2 (* 6 (/ 1 (pow v 2))))))))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) into (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) (/ 1 PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow (/ 1 (- v)) 2)))))) (/ 1 PI)))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow (/ 1 (- v)) 2)))))) (/ 1 PI)))) (pow (/ 1 (- v)) 4)) (* (* -4/3 (* (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow (/ 1 (- v)) 2)))))) (/ 1 PI))) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (* (/ 1 (* (pow v 4) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (+ (* 4/3 (* (/ 1 (* (pow v 6) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (* 4/3 (* (/ 1 (* (pow v 2) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 (* PI 3)) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (* PI 3)) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* PI 3) in v * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 3) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 4 (* 3 PI)) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 PI)) (+ (* (/ 4/3 PI) (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))) (* 0 (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (* v (* v 6)))) (cbrt (exp (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (* (cbrt (pow (exp v) (* v 6))) (cbrt (pow (exp v) (* v 6))))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (+ (log (* (cbrt (pow (exp v) (* v 6))) (cbrt (pow (exp v) (* v 6))))) (log (cbrt (exp (* v (* v 6)))))))))) * * * * [misc]progress: [ 2 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (* v (* v 6))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (sqrt (pow (exp v) (* v 6)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (+ (log (sqrt (pow (exp v) (* v 6)))) (log (sqrt (exp (* v (* v 6)))))))))) * * * * [misc]progress: [ 3 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (+ (log 1) (log (exp (* v (* v 6))))))))) * * * * [misc]progress: [ 4 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* v 6) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* v 6) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v 6) (log (exp v))))))) * * * * [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 # * * * * [misc]progress: [ 12 / 217 ] simplifiying candidate # * * * * [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 # * [enter]simplify: Simplifying (- (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) (log (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 25 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (log (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (327 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: [ 26 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (log (exp (* v (* v 6)))))) (sqrt (- 2 (log (exp (* v (* v 6))))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (sqrt (- 2 (* v (* 6 v)))) (/ (- 2 (* v (* 6 v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (/ (* (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (sqrt (- 2 (* v (* 6 v)))) (/ (- 2 (* v (* 6 v))) (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))))) * * * * [misc]progress: [ 29 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4 (* PI 3)) (- 1 (* v v))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (* (sqrt (- 2 (log (exp (* v (* v 6)))))) (sqrt (- 2 (log (exp (* v (* v 6))))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 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: [ 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 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 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 (* (* 6 v) v))))))) * * * * [misc]progress: [ 35 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 36 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 37 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt 1)) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 38 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 39 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 40 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 41 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 42 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 43 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt 1)) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 44 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 45 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 46 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 (- 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 6) v))))))) * * * * [misc]progress: [ 47 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 48 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 49 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 50 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 51 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 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: [ 52 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 53 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 4 (* 3 PI))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 54 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 55 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 56 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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))) (sqrt (- 1 (* v v)))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 57 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 58 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 59 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 60 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 61 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (cbrt (/ 4 (* 3 PI))) (/ (sqrt 1) (cbrt (/ 4 (* 3 PI))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (208 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: [ 62 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 63 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (208 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: [ 64 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 65 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 66 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 67 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 68 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 (* (* 6 v) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 69 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 70 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 71 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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: [ 72 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 73 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v 6) v)))))) * * * * [misc]progress: [ 74 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 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 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 75 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 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: [ 76 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 77 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 78 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 79 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt 1)) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (208 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: [ 80 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 81 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (* 3 PI))) (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (208 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: [ 82 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (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) (* (/ (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (cbrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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: [ 83 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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: [ 84 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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: [ 85 / 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 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 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: [ 86 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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: [ 87 / 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 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 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: [ 88 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 89 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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: [ 90 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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 6) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 91 / 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 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 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: [ 92 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (126 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 6) v))))) (/ (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))))) * * * * [misc]progress: [ 93 / 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 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 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: [ 94 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* v (* v 6))))) (cbrt (sqrt (- 2 (* v (* v 6))))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 95 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 96 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 97 / 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 98 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* v (* v 6)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 99 / 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 100 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v v) 6)))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 101 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 102 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 103 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (* (sqrt 1) (cbrt (- 1 (* v v))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 104 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v v) 6))))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 105 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 106 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 107 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 108 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 109 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt 1)) (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 110 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 111 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 112 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 113 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 4 (fabs (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (fabs (cbrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 114 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 115 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt 1)) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 116 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 4 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 117 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (* 4 (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 4 (/ (/ (/ 1 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 118 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 119 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 120 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 121 / 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt 1)) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 122 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 123 / 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* 1 (/ (/ (/ 4 (* 3 PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 124 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (* 3 PI))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (15 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 (145 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (cbrt (sqrt (- 2 (* (* v v) 6))))) (* (cbrt (sqrt (- 2 (* (* v v) 6)))) (* 3 PI))) (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 125 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (15 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 (145 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (fabs (cbrt (- 2 (* (* v v) 6))))) (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 126 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (15 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 (145 enodes) * * [misc]simplify: iters left: 1 (176 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 (* 6 v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 127 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) (sqrt 1)) PI) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) (sqrt 1)) PI) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* PI 3)) (sqrt 1)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 128 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (sqrt (sqrt (- 2 (* v (* 6 v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (15 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 (145 enodes) * * [misc]simplify: iters left: 1 (176 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 (* 6 v)))))) (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 129 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (* 3 PI)) (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (195 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: [ 130 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow 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 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (cbrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 131 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (fabs (cbrt (- 2 (* (* v 6) v))))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (cbrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 132 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (208 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 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 133 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 134 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (208 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 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 135 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ 4 (* 3 PI)) (- 1 (* (pow v 3) (pow v 3)))) (/ (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 136 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* v 6) v)))) (cbrt (sqrt (- 2 (* (* v 6) v)))))) (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* v v) 6))))))) * * * * [misc]progress: [ 137 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (357 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 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 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: [ 138 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (379 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 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 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: [ 139 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (sqrt 1)) (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 140 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (379 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 (log (exp (* v (* v 6)))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 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: [ 141 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (log (exp (* v (* v 6))))))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 3) PI) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 142 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))) (cbrt (sqrt (- 2 (log (exp (* v (* v 6))))))))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 146 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (- 2 (log (exp (* v (* v 6))))))))) (sqrt (cbrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 147 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 148 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (log (exp (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* v v) 6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt 1)) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 149 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 2 (log (exp (* v (* v 6))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 2 (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (sqrt (- 2 (log (exp (* v (* v 6)))))))) (sqrt (sqrt (- 2 (* (* 6 v) v)))))) * * * * [misc]progress: [ 150 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (log (exp (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* v v) 6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) 1) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 151 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (cbrt (/ (/ 4 (* 3 PI)) (- 1 (* v v))))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (cbrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 152 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (sqrt (/ (/ 4 (* PI 3)) (- 1 (* v v))))))) * * * * [misc]progress: [ 153 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 154 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 155 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 156 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 157 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 158 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (sqrt (/ 4 (* 3 PI))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))))) * * * * [misc]progress: [ 159 / 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 (log (exp (* v (* v 6)))))) (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 160 / 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 (log (exp (* v (* v 6)))))) (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 161 / 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 (log (exp (* v (* v 6)))))) (/ (/ 4 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 162 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))))) * * * * [misc]progress: [ 163 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))))) * * * * [misc]progress: [ 164 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1) to (λ (v) (/ 4 (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ (/ 1 (* PI 3)) (- 1 (* v v)))))) * * * * [misc]progress: [ 165 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (/ 1 (- 1 (* v v)))))) * * * * [misc]progress: [ 167 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (pow (* v v) 3))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * * * [misc]progress: [ 168 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ 4 (* 3 PI)) (- 1 (* (* v v) (* v v)))) (/ (sqrt (- 2 (log (exp (* v (* v 6)))))) (+ 1 (* v v))))) * * * * [misc]progress: [ 169 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (log (exp (* v (* v 6)))) (log (exp (* v (* v 6))))) (* 2 (log (exp (* v (* v 6)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (* 6 2) (* v v)) (* 2 2)) (* (* 6 (* v v)) (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (log (exp (* v (* v 6)))) 3)))) (sqrt (+ (+ (* (* 6 2) (* v v)) (* 2 2)) (* (* 6 (* v v)) (* 6 (* v v))))))) * * * * [misc]progress: [ 170 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (log (exp (* v (* v 6)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* v v) 6))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- (* 2 2) (* (log (exp (* v (* v 6)))) (log (exp (* v (* v 6)))))))) (sqrt (+ 2 (* (* v v) 6))))) * * * * [misc]progress: [ 171 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* PI 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 4 (* 3 PI)) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ 4 (* 3 PI)) (* (sqrt (- 2 (log (exp (* v (* v 6)))))) (- 1 (* v v))))) * * * * [misc]progress: [ 172 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 (* PI 3))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (exp (- (log (/ 4 (* 3 PI))) (log (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 174 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4 (* PI 3)) (/ 4 (* PI 3))) (/ 4 (* PI 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (cbrt (pow (/ (/ 4 (* 3 PI)) (- 1 (* v v))) 3)) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 177 / 217 ] simplifiying candidate # * * * * [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 (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 182 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 183 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (cbrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 184 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (sqrt (/ 4 (* 3 PI))) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 185 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (sqrt (/ 4 (* PI 3))) (sqrt (- 1 (* v v)))) (/ (sqrt (/ 4 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 186 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 4 (* PI 3))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (sqrt (/ 4 (* 3 PI))) (/ (sqrt (/ 4 (* 3 PI))) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 187 / 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 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 188 / 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 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 189 / 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 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 4 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ 4 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 1 (/ (/ 4 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 190 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (cbrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 191 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 192 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (* 4 (/ (/ 1 (* PI 3)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * [enter]simplify: Simplifying (/ (/ 1 (* PI 3)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 3 PI)) (- 1 (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* 4 (/ (/ 1 (* 3 PI)) (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 193 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 194 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 195 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 196 / 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 (* PI 3)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 197 / 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 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 198 / 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 (* PI 3)) 1) (- 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 199 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* PI 3))) (cbrt (/ 4 (* PI 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (* (cbrt (/ 4 (* 3 PI))) (cbrt (/ 4 (* 3 PI)))) (/ (- 1 (* v v)) (cbrt (/ 4 (* PI 3))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 200 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* PI 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (* 3 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (v) (/ (/ (sqrt (/ 4 (* 3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4 (* PI 3))))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 201 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 202 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 203 / 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 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (+ (* v v) 1) (* (* v v) (* v v))) * [misc]simplify: Simplified (2 1 2) to (λ (v) (/ (* (/ (/ 4 (* PI 3)) (- (pow 1 3) (pow (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 204 / 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 (* PI 3)) (- (* 1 1) (* (* v v) (* v v)))) (+ 1 (* v v))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 205 / 217 ] simplifiying candidate # * * * * [misc]progress: [ 206 / 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 207 / 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 208 / 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 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [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 1 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* (* 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 1 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* (* 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 1 1) to (λ (v) (/ (/ (/ 4 (* PI 3)) (- 1 (* v v))) (sqrt (- 2 (log (exp (* (* v v) 6))))))) * * * * [misc]progress: [ 212 / 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 (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2)))))) * * * * [misc]progress: [ 213 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (* (/ 1 (* (pow v 4) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (+ (* 4/3 (* (/ 1 (* (pow v 6) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (* 4/3 (* (/ 1 (* (pow v 2) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (- (* (sqrt (/ 1 (- 2 (* (* v 6) v)))) (+ (/ 4/3 (* (pow v 4) PI)) (+ (/ 4/3 (* PI (pow v 6))) (/ 4/3 (* PI (* v v))))))) * [misc]simplify: Simplified (2) to (λ (v) (- (* (sqrt (/ 1 (- 2 (* (* v 6) v)))) (+ (/ 4/3 (* (pow v 4) PI)) (+ (/ 4/3 (* PI (pow v 6))) (/ 4/3 (* PI (* v v)))))))) * * * * [misc]progress: [ 214 / 217 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (* (/ 1 (* (pow v 4) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (+ (* 4/3 (* (/ 1 (* (pow v 6) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) (* 4/3 (* (/ 1 (* (pow v 2) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (- (* (sqrt (/ 1 (- 2 (* (* v 6) v)))) (+ (/ 4/3 (* (pow v 4) PI)) (+ (/ 4/3 (* PI (pow v 6))) (/ 4/3 (* PI (* v v))))))) * [misc]simplify: Simplified (2) to (λ (v) (- (* (sqrt (/ 1 (- 2 (* (* v 6) v)))) (+ (/ 4/3 (* (pow v 4) PI)) (+ (/ 4/3 (* PI (pow v 6))) (/ 4/3 (* PI (* v v)))))))) * * * * [misc]progress: [ 215 / 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 (118 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (+ (/ 4/3 PI) (* (/ 4/3 PI) (+ (* v v) (pow v 4)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 216 / 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 (282 enodes) * [exit]simplify: Simplified to (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * * [misc]progress: [ 217 / 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 (282 enodes) * [exit]simplify: Simplified to (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (- (/ (- 4/3) (* (* v PI) v)) (+ (/ (/ 4/3 PI) (pow v 6)) (/ (/ 4/3 PI) (pow v 4)))) (sqrt (- 2 (log (exp (* v (* v 6)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* 6 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [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 (* 6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 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 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 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 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 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 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 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 (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) 1) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [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 (* 6 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 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 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt 2)) into (/ 1/3 (* (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) 1) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [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 (* 6 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 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 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt 2)) into (/ 1/3 (* (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 4 (/ 1/3 (* (sqrt 2) PI))) 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 (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1/3 (* (sqrt 2) PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/6 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 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 (- (/ (* 1/6 (/ 1 PI)) (sqrt 2)) (+ (* (/ 1/3 (* (sqrt 2) PI)) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (/ 1 (* (pow (sqrt 2) 3) PI)) (* 1/6 (/ 1 (* (sqrt 2) PI)))) * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2 * [misc]backup-simplify: Simplify (+ (* 4 (+ (/ 1 (* (pow (sqrt 2) 3) PI)) (* 1/6 (/ 1 (* (sqrt 2) PI))))) (+ (* 0 0) (* 2 (/ 1/3 (* (sqrt 2) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/6 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 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)) (+ (* (/ 1/3 (* (sqrt 2) PI)) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (/ 1 (* (pow (sqrt 2) 3) PI)) (* 1/6 (/ 1 (* (sqrt 2) PI)))) (/ 0 (sqrt 2))))) 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 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (+ (/ 1 (* (pow (sqrt 2) 3) PI)) (* 1/6 (/ 1 (* (sqrt 2) PI))))) (+ (* 2 0) (* 0 (/ 1/3 (* (sqrt 2) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ -1/8 1)) (* 0 (/ 0 1)) (* (* 1/6 (/ 1 PI)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/8 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 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 (- (/ (* 1/8 (/ 1 PI)) (sqrt 2)) (+ (* (/ 1/3 (* (sqrt 2) PI)) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (/ 1 (* (pow (sqrt 2) 3) PI)) (* 1/6 (/ 1 (* (sqrt 2) PI)))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 1/2 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 1/8 (/ 1 (* (sqrt 2) PI))) (* 9/2 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [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 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ -1/8 1)) (* 0 (/ 0 1)) (* 2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 3/2 * [misc]backup-simplify: Simplify (+ (* 4 (+ (* 1/2 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 1/8 (/ 1 (* (sqrt 2) PI))) (* 9/2 (/ 1 (* (pow (sqrt 2) 5) PI)))))) (+ (* 0 0) (+ (* 2 (+ (/ 1 (* (pow (sqrt 2) 3) PI)) (* 1/6 (/ 1 (* (sqrt 2) PI))))) (+ (* 0 0) (* 3/2 (/ 1/3 (* (sqrt 2) PI))))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) into (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (* 18 (/ 1 (* (pow (sqrt 2) 5) PI))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ 1 (* (sqrt 2) PI)))) (pow v 2)) (/ 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 (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt -1)) into (/ 4 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 (* (sqrt -1) PI)) (sqrt -6)) into (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) * [misc]taylor: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt -1)) into (/ 4 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 (* (sqrt -1) PI)) (sqrt -6)) into (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) * [misc]backup-simplify: Simplify (* (/ 4 (sqrt -1)) (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI)))) into (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) into (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) 0) (* 0 (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 1/6 (/ 1 (* (sqrt -1) PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (* 1/6 (/ 1 (* (sqrt -1) PI))) (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* 0 0) (* (* 2 (/ 1 (sqrt -1))) (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) (/ 0 (sqrt -6))))) 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 2 (/ 1 (sqrt -1))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) 0) (+ (* 0 (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* (* 2 (/ 1 (sqrt -1))) 0) (* 0 (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (+ (* 1/12 (/ 1 (* (sqrt -6) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -6) 5) (* (sqrt -1) PI)))) (+ (* 1/24 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 5) PI)))) (* 1/3 (/ 1 (* (sqrt -1) (* (pow (sqrt -6) 5) PI))))))) (* 1/6 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 2 (/ 1 (sqrt -1))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (* 1/2 (/ 1 (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) (- (+ (* 1/12 (/ 1 (* (sqrt -6) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -6) 5) (* (sqrt -1) PI)))) (+ (* 1/24 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 5) PI)))) (* 1/3 (/ 1 (* (sqrt -1) (* (pow (sqrt -6) 5) PI))))))) (* 1/6 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* 0 0) (+ (* (* 2 (/ 1 (sqrt -1))) (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* 0 0) (* (+ (* 1/2 (/ 1 (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI)))))))) into (- (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) (pow (/ 1 v) 5)) (* (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* (pow v 3) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* (pow v 5) (* (pow (sqrt -1) 2) PI))))) (+ (* 2/3 (/ 1 (* (pow v 7) (* (sqrt -6) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))) (+ (* 1/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (sqrt -6) PI))))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (pow (sqrt -6) 5) PI))))) (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (pow v 7) (* (sqrt -6) PI))))) (* 1/6 (/ 1 (* (pow v 7) (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))))))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (pow (sqrt -6) 3) PI))))))) * [misc]approximate: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt -1)) into (/ 4 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 (* (sqrt -1) PI)) (sqrt -6)) into (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) * [misc]taylor: Taking taylor expansion of (* (/ 4 (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of (/ 4 (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 4 (sqrt -1)) into (/ 4 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 (* (sqrt -1) PI)) (sqrt -6)) into (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) * [misc]backup-simplify: Simplify (* (/ 4 (sqrt -1)) (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI)))) into (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) * [misc]backup-simplify: Simplify (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) into (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) 0) (* 0 (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 1/6 (/ 1 (* (sqrt -1) PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (* 1/6 (/ 1 (* (sqrt -1) PI))) (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* 0 0) (* (* 2 (/ 1 (sqrt -1))) (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) (/ 0 (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 2 (/ 1 (sqrt -1))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) 0) (+ (* 0 (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* (* 2 (/ 1 (sqrt -1))) 0) (* 0 (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) (sqrt -6)) (+ (* (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI))) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (+ (* 1/12 (/ 1 (* (sqrt -6) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -6) 5) (* (sqrt -1) PI)))) (+ (* 1/24 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 5) PI)))) (* 1/3 (/ 1 (* (sqrt -1) (* (pow (sqrt -6) 5) PI))))))) (* 1/6 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 4 (sqrt -1)) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 2 (/ 1 (sqrt -1))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (* 1/2 (/ 1 (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (/ 4 (sqrt -1)) (- (+ (* 1/12 (/ 1 (* (sqrt -6) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -6) 5) (* (sqrt -1) PI)))) (+ (* 1/24 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 5) PI)))) (* 1/3 (/ 1 (* (sqrt -1) (* (pow (sqrt -6) 5) PI))))))) (* 1/6 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* 0 0) (+ (* (* 2 (/ 1 (sqrt -1))) (- (* 1/6 (/ 1 (* (sqrt -1) (* (sqrt -6) PI)))) (* 1/3 (/ 1 (* (pow (sqrt -6) 3) (* (sqrt -1) PI)))))) (+ (* 0 0) (* (+ (* 1/2 (/ 1 (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/3 (* (sqrt -6) (* (sqrt -1) PI)))))))) into (- (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow (sqrt -6) 5) PI)))) (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 2) PI)))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))) (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (sqrt -6) PI)))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow (sqrt -1) 2) PI))))) (pow (/ 1 (- v)) 5)) (* (/ 4/3 (* (sqrt -6) (* (pow (sqrt -1) 2) PI))) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow v 5) (* (pow (sqrt -1) 2) PI))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow v 7) (* (pow (sqrt -1) 2) PI)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* (pow v 3) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 5) (* (sqrt -6) PI))))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (sqrt -6) PI))))) (+ (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow v 7) (* (pow (sqrt -1) 2) PI))))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow v 7) (* (pow (sqrt -1) 6) PI))))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow v 7) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (pow (sqrt -6) 5) PI))))) (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (pow v 7) (* (sqrt -6) PI))))))))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) 1) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) 1) into (/ 1/3 PI) * [misc]backup-simplify: Simplify (/ 1/3 PI) into (/ 1/3 PI) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/6 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 PI)) into (/ 1/6 PI) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/6 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/3 PI) (/ -1/8 1)) (* 0 (/ 0 1)) (* (* 1/6 (/ 1 PI)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/8 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 PI)) into (/ 1/8 PI) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 PI) (pow v 4)) (+ (* (/ 1/6 PI) (pow v 2)) (/ 1/3 PI))) into (+ (* 1/6 (/ (pow v 2) PI)) (+ (* 1/3 (/ 1 PI)) (* 1/8 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]backup-simplify: Simplify (/ 1/3 (* (sqrt -1) PI)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 1/6 (/ 1 (* (sqrt -1) PI))) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 (* (sqrt -1) PI))) into (/ 1/6 (* (sqrt -1) PI)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) * [misc]backup-simplify: Simplify (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) into (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) (pow (/ 1 v) 5)) (+ (* (/ 1/6 (* (sqrt -1) PI)) (pow (/ 1 v) 3)) (* (/ 1/3 (* (sqrt -1) PI)) (/ 1 v)))) into (+ (* 1/3 (/ 1 (* v (* (sqrt -1) PI)))) (+ (* 1/12 (/ 1 (* (pow v 5) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow v 3) (* (sqrt -1) PI)))) (* 1/24 (/ 1 (* (pow v 5) (* (pow (sqrt -1) 5) PI))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (* 3 PI)) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (/ 1 (* 3 PI)) into (/ 1/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1/3 PI) (sqrt -1)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]backup-simplify: Simplify (/ 1/3 (* (sqrt -1) PI)) into (/ 1/3 (* (sqrt -1) PI)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 PI) (/ 0 (* 3 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (* 1/6 (/ 1 (* (sqrt -1) PI))) * [misc]backup-simplify: Simplify (* 1/6 (/ 1 (* (sqrt -1) PI))) into (/ 1/6 (* (sqrt -1) PI)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ 0 (sqrt -1))) (* 0 (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/3 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/3 (* (sqrt -1) PI)) (/ (/ -1/8 (pow (sqrt -1) 3)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* (* 1/6 (/ 1 (* (sqrt -1) PI))) (/ (/ 1/2 (sqrt -1)) (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) * [misc]backup-simplify: Simplify (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) into (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/24 (/ 1 (* (pow (sqrt -1) 5) PI))) (* 1/12 (/ 1 (* (sqrt -1) PI)))) (pow (/ 1 (- v)) 5)) (+ (* (/ 1/6 (* (sqrt -1) PI)) (pow (/ 1 (- v)) 3)) (* (/ 1/3 (* (sqrt -1) PI)) (/ 1 (- v))))) into (- (+ (* 1/3 (/ 1 (* v (* (sqrt -1) PI)))) (+ (* 1/12 (/ 1 (* (pow v 5) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow v 3) (* (sqrt -1) PI)))) (* 1/24 (/ 1 (* (pow v 5) (* (pow (sqrt -1) 5) PI)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* v v))) in v * [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 (sqrt 1) into 1 * [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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow v 4)) (+ (* -1/2 (pow v 2)) 1)) into (- 1 (+ (* 1/8 (pow v 4)) (* 1/2 (pow v 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 v) (/ 1 v)))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 v)) (* (sqrt -1) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ 1 (* v (sqrt -1)))) (* v (sqrt -1))) (* 1/8 (/ 1 (* (pow v 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [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 (sqrt -1) into (sqrt -1) * [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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- v))) (* (sqrt -1) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ 1 (* (pow v 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* v (sqrt -1)))) (* v (sqrt -1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (/ (/ 4 (sqrt (- 1 (* v v)))) (* (* (* 3 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))) * [misc]simplify: Simplified (2 1) to (λ (v) (pow (/ (/ 4 (sqrt (- 1 (* v v)))) (* (* (* 3 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))) 1)) * * * * [misc]progress: [ 11 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 (sqrt (- 1 (* v v))))) (- (- (- (log (* 3 PI))) (log (sqrt (- 1 (* v v))))) (log (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 (sqrt (- 1 (* v v))))) (log (sqrt (- 2 (* (* v v) 6))))) (+ (log (sqrt (- 1 (* v v)))) (log (* PI 3)))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (- (log (/ 4 (sqrt (- 1 (* v v))))) (log (sqrt (- 2 (* (* v v) 6))))) (+ (log (sqrt (- 1 (* v v)))) (log (* PI 3)))))) * * * * [misc]progress: [ 13 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 (sqrt (- 1 (* v v))))) (- (- (log (/ 1 (* 3 PI))) (log (sqrt (- 1 (* v v))))) (log (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (sqrt (- 1 (* v v))))) (+ (log (sqrt (- 2 (* (* v v) 6)))) (+ (log (sqrt (- 1 (* v v)))) (log (* PI 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ 4 (sqrt (- 1 (* v v))))) (+ (log (sqrt (- 2 (* (* v v) 6)))) (+ (log (sqrt (- 1 (* v v)))) (log (* PI 3))))))) * * * * [misc]progress: [ 14 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 (sqrt (- 1 (* v v))))) (- (log (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (log (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (- (log (/ 4 (sqrt (- 1 (* v v))))) (+ (log (* (sqrt (- 1 (* v v))) (* PI 3))) (log (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (- (log (/ 4 (sqrt (- 1 (* v v))))) (+ (log (* (sqrt (- 1 (* v v))) (* PI 3))) (log (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 15 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 (sqrt (- 1 (* v v))))) (log (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 (sqrt (- 1 (* v v))))) (log (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (exp (+ (log (/ 4 (sqrt (- 1 (* v v))))) (log (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 16 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 4 (sqrt (- 1 (* v v))))) (/ 4 (sqrt (- 1 (* v v))))) (/ (/ (* (* (/ 1 (* 3 PI)) (/ 1 (* 3 PI))) (/ 1 (* 3 PI))) (* (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ (/ 1 3) PI) (- 1 (* v v))) (* (/ (/ 1 3) PI) (/ (/ 1 3) PI))) (* (- 2 (* (* v v) 6)) (sqrt (- 1 (* v v))))) (/ (/ (* 4 4) (- 1 (* v v))) (* (sqrt (- 2 (* (* v v) 6))) (/ (sqrt (- 1 (* v v))) 4)))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (* (/ (/ (/ 1 3) PI) (- 1 (* v v))) (* (/ (/ 1 3) PI) (/ (/ 1 3) PI))) (* (- 2 (* (* v v) 6)) (sqrt (- 1 (* v v))))) (/ (/ (* 4 4) (- 1 (* v v))) (* (sqrt (- 2 (* (* v v) 6))) (/ (sqrt (- 1 (* v v))) 4)))))) * * * * [misc]progress: [ 19 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 4 (sqrt (- 1 (* v v))))) (/ 4 (sqrt (- 1 (* v v))))) (/ (* (* (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (/ (sqrt (- 2 (* (* v v) 6))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ 4 (sqrt (- 1 (* v v))))) (/ (- 2 (* (* v v) 6)) (/ 4 (sqrt (- 1 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (/ (* (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (/ (sqrt (- 2 (* (* v v) 6))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ 4 (sqrt (- 1 (* v v))))) (/ (- 2 (* (* v v) 6)) (/ 4 (sqrt (- 1 (* v v))))))))) * * * * [misc]progress: [ 20 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 4 (sqrt (- 1 (* v v))))) (/ 4 (sqrt (- 1 (* v v))))) (* (* (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (* (/ (/ (/ (/ 1 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ (/ 1 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (* (* 4 4) 4) (sqrt (- 1 (* v v)))) (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v))))) (/ (/ (/ (/ 1 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * [misc]simplify: Simplified (2 1) to (λ (v) (cbrt (* (* (/ (/ (/ (/ 1 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (/ (/ (/ (/ 1 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (* (/ (/ (* (* 4 4) 4) (sqrt (- 1 (* v v)))) (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v))))) (/ (/ (/ (/ 1 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))))) * * * * [misc]progress: [ 21 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (* (sqrt (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [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 (42 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (* (sqrt (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 25 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (* (cbrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (cbrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) (cbrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 27 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (sqrt (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) (sqrt (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 28 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 29 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 30 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 31 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (sqrt 1))) (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 32 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 33 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))))) 1)) (/ (cbrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 34 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 35 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 36 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 37 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 38 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 39 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (sqrt (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) 1)) (/ (sqrt (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 40 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 41 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 42 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 43 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 44 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 45 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) 1)) (/ (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 46 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 47 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 48 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 49 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 50 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 51 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) 1)) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 52 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 53 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 54 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 55 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 56 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 57 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 58 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 59 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 60 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 61 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) (sqrt 1))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 62 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 63 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) 1)) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 64 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 65 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 66 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 67 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 68 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 69 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 70 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 71 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 72 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 73 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) 1) (sqrt 1))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 74 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 75 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) 1) 1)) (/ (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 76 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 77 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 78 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 79 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 80 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 81 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) 1)) (/ (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 82 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 83 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 84 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 85 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 86 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 87 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) 1)) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 88 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 89 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 90 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 91 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 92 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 93 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 94 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 95 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 96 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 97 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) (sqrt 1))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 98 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 99 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) 1)) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 100 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 101 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 102 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 103 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 104 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 105 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 106 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 107 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 108 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 109 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) 1) (sqrt 1))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 110 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 111 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* 3 PI))) 1) 1)) (/ (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 112 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 113 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 114 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 115 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 116 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 117 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) 1)) (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 118 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 119 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 120 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 121 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 122 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 123 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) 1)) (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 124 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 125 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 126 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 127 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 128 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 129 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 130 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 131 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 132 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 133 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt 1))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 134 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 135 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) 1)) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 136 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 137 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 138 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 139 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 140 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 141 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 142 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 143 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 144 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 145 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt 1))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 146 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 147 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) 1)) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 148 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 149 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 150 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 151 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 152 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 153 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) 1)) (/ (/ (/ 1 3) (cbrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 154 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 155 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 156 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 157 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt 1))) (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 158 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 159 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) 1)) (/ (/ (/ 1 3) (sqrt (cbrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 160 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 161 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 162 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 163 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 164 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 165 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 166 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 167 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 168 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 169 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt 1))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 170 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 171 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt 1)) 1)) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 172 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 173 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 174 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 175 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt 1))) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 176 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 177 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (sqrt (sqrt (- 1 (* v v))))) 1)) (/ (/ (/ 1 3) (sqrt (sqrt (- 1 (* v v))))) (* (sqrt (- 2 (* v (* 6 v)))) PI)))) * * * * [misc]progress: [ 178 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 179 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 180 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 181 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt 1))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 182 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 183 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 1) 1)) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 184 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 1 (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 185 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 1 (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 186 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 187 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 1 (sqrt 1))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 188 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 1 (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 189 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ 1 1)) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 190 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 191 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 192 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 193 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt 1))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 194 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* v 6) v))))))) * * * * [misc]progress: [ 195 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) 1)) (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (- 2 (* v (* v 6))))))) * * * * [misc]progress: [ 196 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (cbrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 197 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (cbrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 198 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 199 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) (sqrt 1))) (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 200 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* v (* v 6)))))))) * * * * [misc]progress: [ 201 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) 1)) (/ (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 202 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))) (/ (sqrt (+ 1 (* v v))) (cbrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 203 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v)))))))) (/ (sqrt (+ 1 (* v v))) (sqrt (cbrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 204 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (sqrt (+ 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 205 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) (sqrt 1))) (/ (sqrt (+ 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 206 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))))) (/ (sqrt (+ 1 (* v v))) (sqrt (sqrt (- 2 (* v (* 6 v)))))))) * * * * [misc]progress: [ 207 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) 1)) (/ (sqrt (+ 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 208 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) 1) (/ (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 209 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* v (* 6 v))))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (/ 1 (sqrt (- 2 (* v (* 6 v))))))) * * * * [misc]progress: [ 210 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (* v v) (* 2 6)) (* 2 2)) (* (* (* 6 v) v) (* (* 6 v) v)))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (sqrt (+ (+ (* (* v v) (* 2 6)) (* 2 2)) (* (* (* 6 v) v) (* (* 6 v) v)))))) * * * * [misc]progress: [ 211 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 2 (* (* v v) 6))) * [misc]simplify: Simplified (2 2) to (λ (v) (* (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (sqrt (+ 2 (* (* v v) 6))))) * * * * [misc]progress: [ 212 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ 4 (sqrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ 4 (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (cbrt (/ 4 (sqrt (- 1 (* v v)))))) (* (cbrt (/ 4 (sqrt (- 1 (* v v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 213 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (sqrt (/ 4 (sqrt (- 1 (* v v))))) (* (sqrt (/ 4 (sqrt (- 1 (* v v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 214 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 215 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 216 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- (pow 1 3) (pow (* v v) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* (pow v 3) (pow v 3))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* (pow v 3) (pow v 3))))) (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 217 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (- (* 1 1) (* (* v v) (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (- 1 (* (* v v) (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* (* v v) (* v v))))) (* (sqrt (+ 1 (* v v))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))))) * * * * [misc]progress: [ 218 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 2 (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* (* v v) 6))) * [misc]simplify: Simplified (2 2) to (λ (v) (/ (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 219 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [misc]simplify: Simplified (2 1) to (λ (v) (/ (/ (/ (/ (/ 4 3) PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 1 (* v v))))) * * * * [misc]progress: [ 220 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 221 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 222 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* 3 PI))) (log (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (- (log (* 3 PI))) (log (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (exp (- (- (log (* 3 PI))) (log (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 223 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (* 3 PI))) (log (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * [exit]simplify: Simplified to (- (- (log (* PI 3))) (log (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (exp (- (- (log (* PI 3))) (log (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 224 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 226 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (* 3 PI)) (/ 1 (* 3 PI))) (/ 1 (* 3 PI))) (* (* (sqrt (- 1 (* v v))) (sqrt (- 1 (* v v)))) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 1 (* PI 3)) (- 1 (* v v))) (/ 1 (* PI 3))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (cbrt (* (* (/ (/ 1 (* PI 3)) (- 1 (* v v))) (/ 1 (* PI 3))) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 227 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 229 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 230 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 231 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 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 (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (* (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (* 3 PI))) (cbrt (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 (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (cbrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 232 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (fabs (cbrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (fabs (cbrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 233 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (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 (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 234 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (sqrt 1)) (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 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 (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt 1)) (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 235 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (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 (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) (sqrt (sqrt (- 1 (* v v))))) (/ (cbrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 236 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (* 3 PI))) (sqrt (- 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 (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (/ (cbrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 237 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 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 (/ 1 (* PI 3))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* PI 3))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (/ 1 (* 3 PI))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (cbrt (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 (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* 3 PI))) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (sqrt (/ 1 (* PI 3))) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 238 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (* (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 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (* PI 3))) (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* PI 3))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (/ 1 (* 3 PI))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* PI 3))) (fabs (cbrt (- 1 (* v v))))) (/ (sqrt (/ 1 (* PI 3))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 239 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 240 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (* PI 3))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* PI 3))) (sqrt 1)) (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 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 (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* 3 PI))) (sqrt 1)) (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 241 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (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 (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (sqrt (/ 1 (* 3 PI))) (sqrt (sqrt (- 1 (* v v))))) (/ (sqrt (/ 1 (* PI 3))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 242 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* PI 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (sqrt (/ 1 (* PI 3))) (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (* 3 PI))) (sqrt (- 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 (/ 1 (* PI 3))) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (sqrt (/ 1 (* PI 3))) (/ (sqrt (/ 1 (* PI 3))) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 243 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 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 (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (cbrt (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 (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 244 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (fabs (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (sqrt (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 (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (fabs (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 245 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (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 (/ 1 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (sqrt (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 (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 246 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt 1)) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (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 (* PI 3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt 1)) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 247 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (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 (/ 1 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (sqrt (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 (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 248 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* 1 (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (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 (* PI 3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* 1 (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 249 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 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 (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (/ 1 (* 3 PI)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (cbrt (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 (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (/ (/ 1 (* PI 3)) (cbrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 250 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (fabs (cbrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (sqrt (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 (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (fabs (cbrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 251 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (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 (/ 1 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (sqrt (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 (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 252 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt 1)) (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (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 (* PI 3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt 1)) (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 253 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (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 (/ 1 (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (sqrt (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 (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ 1 (sqrt (sqrt (- 1 (* v v))))) (/ (/ 1 (* PI 3)) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 254 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* 1 (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ 1 (* 3 PI)) (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 (* PI 3)) (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* 1 (/ (/ 1 (* PI 3)) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 255 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 257 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 258 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (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 (cbrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ (/ 1 (* 3 PI)) (* (cbrt (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 1 (* v v)))))) (cbrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 259 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ (/ 1 (* 3 PI)) (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) (sqrt (cbrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 260 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 261 / 296 ] 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 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ (/ 1 (* 3 PI)) (sqrt 1)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 262 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ (/ 1 (* 3 PI)) (sqrt (sqrt (- 1 (* v v))))) (sqrt (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 263 / 296 ] 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 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ (/ 1 (* 3 PI)) 1) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 264 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* 3 PI))) (cbrt (/ 1 (* 3 PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (* (cbrt (/ 1 (* PI 3))) (cbrt (/ 1 (* PI 3)))) (/ (sqrt (- 1 (* v v))) (cbrt (/ 1 (* 3 PI))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 265 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* 3 PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* PI 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (sqrt (/ 1 (* PI 3))) (/ (sqrt (- 1 (* v v))) (sqrt (/ 1 (* 3 PI))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 266 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 267 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 268 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (/ 1 (* 3 PI)) (sqrt (- (pow 1 3) (pow (* v v) 3)))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 269 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* v v))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (* (/ (/ 1 (* 3 PI)) (sqrt (- (* 1 1) (* (* v v) (* v v))))) (sqrt (+ 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 270 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 271 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 272 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 273 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 274 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 275 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 276 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 277 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (* (fabs (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 278 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (sqrt (sqrt (- 1 (* v v)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (* (sqrt (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 1 (* v v)))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 279 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (* (sqrt 1) (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 280 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (* v v) 3))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (/ (sqrt (- 1 (pow (* v v) 3))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 281 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v v) (* v v)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (/ (sqrt (- 1 (* (* v v) (* v v)))) (sqrt (+ 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 282 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 283 / 296 ] 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 2 1 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (fabs (sqrt (- 1 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 284 / 296 ] simplifiying candidate # * * * * [misc]progress: [ 285 / 296 ] 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 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 286 / 296 ] 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 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 287 / 296 ] 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 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))) * * * * [misc]progress: [ 288 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 4) (* (sqrt 2) PI))) (+ (* 4/3 (/ 1 (* (sqrt 2) PI))) (+ (* 4 (/ (pow v 4) (* (pow (sqrt 2) 3) PI))) (+ (* 18 (/ (pow v 4) (* (pow (sqrt 2) 5) PI))) (+ (* 4 (/ (pow v 2) (* (pow (sqrt 2) 3) PI))) (* 4/3 (/ (pow v 2) (* (sqrt 2) PI)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (* (/ (pow v 4) (* PI 2)) (/ 4 (sqrt 2))) (/ (/ (pow v 4) (/ PI 18)) (pow (sqrt 2) 5))) (* (/ (* v v) PI) (+ (/ (/ 4 2) (sqrt 2)) (/ 4/3 (sqrt 2))))) (+ (/ (/ 4/3 (sqrt 2)) PI) (* (/ (pow v 4) PI) (/ 4/3 (sqrt 2)))))) * * * * [misc]progress: [ 289 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* (pow v 3) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* (pow v 5) (* (pow (sqrt -1) 2) PI))))) (+ (* 2/3 (/ 1 (* (pow v 7) (* (sqrt -6) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (pow v 7) (* (pow (sqrt -6) 5) (* (pow (sqrt -1) 2) PI))))) (+ (* 1/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (sqrt -6) PI))))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (pow (sqrt -6) 5) PI))))) (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (pow v 7) (* (sqrt -6) PI))))) (* 1/6 (/ 1 (* (pow v 7) (* (sqrt -6) (* (pow (sqrt -1) 6) PI)))))))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 5) (* (pow (sqrt -6) 3) PI))))) (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (pow (sqrt -6) 3) PI))))))) * * [misc]simplify: iters left: 6 (76 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (+ (+ (/ 4/3 (* (sqrt -6) (* (pow v 5) (* -1 PI)))) (+ (/ 2/3 (* (sqrt -6) (* (* -1 PI) (pow v 7)))) (/ 4/3 (* (* (pow v 7) (* -1 PI)) (pow (sqrt -6) 5))))) (+ (+ (/ (* (/ 1 -1) 2/3) (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (* (/ 1 (pow v 7)) 1/6) (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (/ (* (/ 1 (pow v 7)) 1/6) (* (pow (sqrt -1) 6) (* (sqrt -6) PI))) (/ 1/3 (* (* (pow v 7) -1) (* (sqrt -6) PI)))))) (- (/ 4/3 (* (* (* v v) (* v -1)) (* (sqrt -6) PI))) (+ (/ 4/3 (* (* (sqrt -6) (* -6 PI)) (* (pow v 5) -1))) (/ 4/3 (* (* (sqrt -6) (* -6 PI)) (* (pow v 7) -1)))))) * [misc]simplify: Simplified (2) to (λ (v) (+ (+ (+ (/ 4/3 (* (sqrt -6) (* (pow v 5) (* -1 PI)))) (+ (/ 2/3 (* (sqrt -6) (* (* -1 PI) (pow v 7)))) (/ 4/3 (* (* (pow v 7) (* -1 PI)) (pow (sqrt -6) 5))))) (+ (+ (/ (* (/ 1 -1) 2/3) (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (* (/ 1 (pow v 7)) 1/6) (* (pow (sqrt -1) 6) (* (sqrt -6) PI)))) (+ (/ (* (/ 1 (pow v 7)) 1/6) (* (pow (sqrt -1) 6) (* (sqrt -6) PI))) (/ 1/3 (* (* (pow v 7) -1) (* (sqrt -6) PI)))))) (- (/ 4/3 (* (* (* v v) (* v -1)) (* (sqrt -6) PI))) (+ (/ 4/3 (* (* (sqrt -6) (* -6 PI)) (* (pow v 5) -1))) (/ 4/3 (* (* (sqrt -6) (* -6 PI)) (* (pow v 7) -1))))))) * * * * [misc]progress: [ 290 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow v 5) (* (pow (sqrt -1) 2) PI))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* (pow v 7) (* (pow (sqrt -1) 2) PI)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* (pow v 3) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 5) (* (sqrt -6) PI))))) (+ (* 2/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (sqrt -6) PI))))) (+ (* 2/3 (/ 1 (* (pow (sqrt -6) 5) (* (pow v 7) (* (pow (sqrt -1) 2) PI))))) (+ (* 1/6 (/ 1 (* (sqrt -6) (* (pow v 7) (* (pow (sqrt -1) 6) PI))))) (+ (* 1/3 (/ 1 (* (sqrt -6) (* (pow v 7) (* (pow (sqrt -1) 2) PI))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -1) 2) (* (pow v 7) (* (pow (sqrt -6) 5) PI))))) (* 1/6 (/ 1 (* (pow (sqrt -1) 6) (* (pow v 7) (* (sqrt -6) PI))))))))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 4/3 (* (* -6 (sqrt -6)) (* (pow v 7) (* PI -1)))) (- (/ 4/3 (* (* (* PI -1) (pow v 5)) (* -6 (sqrt -6)))) (/ 4/3 (* (* (* v v) (* v -1)) (* (sqrt -6) PI))))) (/ 4/3 (* (* -1 (pow v 5)) (* (sqrt -6) PI)))) (+ (+ (+ (/ (* (/ 1 -1) 4/3) (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (* (/ 1 (sqrt -6)) 1/6) (* (* (pow v 7) PI) (pow (sqrt -1) 6)))) (+ (/ 1/3 (* (* (pow v 7) (* PI -1)) (sqrt -6))) (/ (* (/ 1 (sqrt -6)) 1/6) (* (* (pow v 7) PI) (pow (sqrt -1) 6))))) (+ (/ 2/3 (* (* (sqrt -6) PI) (* (pow v 7) -1))) (/ 2/3 (* (pow (sqrt -6) 5) (* (pow v 7) (* PI -1))))))) * [misc]simplify: Simplified (2) to (λ (v) (- (- (+ (/ 4/3 (* (* -6 (sqrt -6)) (* (pow v 7) (* PI -1)))) (- (/ 4/3 (* (* (* PI -1) (pow v 5)) (* -6 (sqrt -6)))) (/ 4/3 (* (* (* v v) (* v -1)) (* (sqrt -6) PI))))) (/ 4/3 (* (* -1 (pow v 5)) (* (sqrt -6) PI)))) (+ (+ (+ (/ (* (/ 1 -1) 4/3) (* (* (pow v 7) PI) (pow (sqrt -6) 5))) (/ (* (/ 1 (sqrt -6)) 1/6) (* (* (pow v 7) PI) (pow (sqrt -1) 6)))) (+ (/ 1/3 (* (* (pow v 7) (* PI -1)) (sqrt -6))) (/ (* (/ 1 (sqrt -6)) 1/6) (* (* (pow v 7) PI) (pow (sqrt -1) 6))))) (+ (/ 2/3 (* (* (sqrt -6) PI) (* (pow v 7) -1))) (/ 2/3 (* (pow (sqrt -6) 5) (* (pow v 7) (* PI -1)))))))) * * * * [misc]progress: [ 291 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (/ (pow v 2) PI)) (+ (* 1/3 (/ 1 PI)) (* 1/8 (/ (pow v 4) PI)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ v PI) (* 1/6 v)) (* (pow v 4) (/ 1/8 PI))) (/ 1/3 PI)) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (+ (+ (* (/ v PI) (* 1/6 v)) (* (pow v 4) (/ 1/8 PI))) (/ 1/3 PI)) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 292 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (/ 1 (* v (* (sqrt -1) PI)))) (+ (* 1/12 (/ 1 (* (pow v 5) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow v 3) (* (sqrt -1) PI)))) (* 1/24 (/ 1 (* (pow v 5) (* (pow (sqrt -1) 5) PI))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1/12 (pow v 5)) (* (sqrt -1) PI)) (/ (/ (/ 1/24 PI) (pow v 5)) (pow (sqrt -1) 5))) (* (/ 1 (* (* v PI) (sqrt -1))) (+ 1/3 (/ 1/6 (* v v))))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (+ (+ (/ (/ 1/12 (pow v 5)) (* (sqrt -1) PI)) (/ (/ (/ 1/24 PI) (pow v 5)) (pow (sqrt -1) 5))) (* (/ 1 (* (* v PI) (sqrt -1))) (+ 1/3 (/ 1/6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 293 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (* v (* (sqrt -1) PI)))) (+ (* 1/12 (/ 1 (* (pow v 5) (* (sqrt -1) PI)))) (+ (* 1/6 (/ 1 (* (pow v 3) (* (sqrt -1) PI)))) (* 1/24 (/ 1 (* (pow v 5) (* (pow (sqrt -1) 5) PI)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (- (- (/ (- 1/3) (* (* v PI) (sqrt -1))) (/ (/ 1/12 (pow v 5)) (* (sqrt -1) PI))) (+ (/ (/ (/ 1/6 v) (* v v)) (* (sqrt -1) PI)) (/ (/ 1/24 (pow v 5)) (* (pow (sqrt -1) 5) PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (- (- (/ (- 1/3) (* (* v PI) (sqrt -1))) (/ (/ 1/12 (pow v 5)) (* (sqrt -1) PI))) (+ (/ (/ (/ 1/6 v) (* v v)) (* (sqrt -1) PI)) (/ (/ 1/24 (pow v 5)) (* (pow (sqrt -1) 5) PI)))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 294 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/8 (pow v 4)) (* 1/2 (pow v 2)))) * * [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 (64 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- 1 (+ (* 1/8 (pow v 4)) (* 1/2 (* v v)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (- 1 (+ (* 1/8 (pow v 4)) (* 1/2 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 295 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* v (sqrt -1)))) (* v (sqrt -1))) (* 1/8 (/ 1 (* (pow v 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (- (+ (* (sqrt -1) v) (/ (/ 1/2 v) (sqrt -1))) (/ (/ (/ 1/8 v) (* v v)) (- (sqrt -1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (- (+ (* (sqrt -1) v) (/ (/ 1/2 v) (sqrt -1))) (/ (/ (/ 1/8 v) (* v v)) (- (sqrt -1))))) (sqrt (- 2 (* 6 (* v v))))))) * * * * [misc]progress: [ 296 / 296 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow v 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* v (sqrt -1)))) (* v (sqrt -1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (+ (- (* (sqrt -1) (- v)) (/ (/ 1/2 v) (sqrt -1))) (/ (/ (/ 1/8 v) (sqrt -1)) (* (- v) v))) * [misc]simplify: Simplified (2 2 1 2) to (λ (v) (* (/ 4 (sqrt (- 1 (* v v)))) (/ (/ (/ 1 (* 3 PI)) (+ (- (* (sqrt -1) (- v)) (/ (/ 1/2 v) (sqrt -1))) (/ (/ (/ 1/8 v) (sqrt -1)) (* (- v) v)))) (sqrt (- 2 (* 6 (* v v))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 2 branch expressions: (v (* v v)) * * * * [misc]regimes: Trying to branch on v from (# #) * * * * [misc]regimes: Trying to branch on (* v v) from (# #) * * * [misc]regime: Found split indices: #