* [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 125 additional inputs, on iter 1 have 131 / 256 * * * * [misc]points: Computing exacts on every 7 of 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 125 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 61 additional inputs, on iter 2 have 195 / 256 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 61 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 35 additional inputs, on iter 3 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 4 have 242 / 256 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 5 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))) 2) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3)))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3)))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3)))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) into (* 1/3 (acos (* -1 (/ g h)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (acos (/ (- g) h)) 3)) (exp (* 2 (/ PI 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (exp (+ (/ (acos (/ (- g) h)) 3) (+ (/ PI 3) (/ PI 3)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (log (exp (+ (/ (acos (/ (- g) h)) 3) (+ (/ PI 3) (/ PI 3)))))) 2)) * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (acos (/ (- g) h)) 3) (* 3 (* 2 PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (/ (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) (* 3 3))) 2)) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [misc]simplify: Simplified (2 1 1 2) to (λ (g h) (* (cos (/ (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) (* 3 3))) 2)) * * * * [misc]progress: [ 19 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (- (/ (/ PI 2) 3) (- (/ (asin (/ (- g) h)) 3) (* 2 (/ PI 3))))) 2)) * * * * [misc]progress: [ 23 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (- (/ PI 3) (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3))))) 2)) * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ (- g) h)) 3)) (cos (* 2 (/ PI 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cos (* PI (/ 2 3))) (cos (/ (acos (/ (- g) h)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (- (* (cos (* PI (/ 2 3))) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (acos (/ (- g) h)) 3)) (sin (* 2 (/ PI 3))))) 2)) * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (/ PI 2) 3)) (cos (- (/ (asin (/ (- g) h)) 3) (* 2 (/ PI 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (asin (- (/ g h))) 3) (/ PI (/ 3 2)))) (cos (/ (/ PI 2) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (+ (* (cos (- (/ (asin (- (/ g h))) 3) (/ PI (/ 3 2)))) (cos (/ (/ PI 2) 3))) (* (sin (/ (/ PI 2) 3)) (sin (- (/ (asin (/ (- g) h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ PI 3)) (cos (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) 1/2) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (cos (+ (- (/ (/ PI 2) 3) (/ (asin (/ (- g) h)) 3)) (* 2 (/ PI 3)))) 2)) * * * * [misc]progress: [ 43 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (cos (+ (- (/ PI 3) (/ (acos (/ g h)) 3)) (* 2 (/ PI 3)))) 2)) * * * * [misc]progress: [ 44 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (cos (+ (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3 (cbrt (acos (/ (- g) h))))) (* 2 (/ PI 3)))) 2)) * * * * [misc]progress: [ 48 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (acos (- (/ g h)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (cos (+ (/ (sqrt (acos (- (/ g h)))) (/ 3 (sqrt (acos (/ (- g) h))))) (* 2 (/ PI 3)))) 2)) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cos (+ (/ 2 (/ 3 PI)) (/ (acos (/ (- g) h)) 3))) 2) * [misc]simplify: Simplified (2) to (λ (g h) (* (cos (+ (/ 2 (/ 3 PI)) (/ (acos (/ (- g) h)) 3))) 2)) * * * * [misc]progress: [ 51 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) * [misc]simplify: Simplified (2 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) * [misc]simplify: Simplified (2 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) * [misc]simplify: Simplified (2 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))) 2)) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (* -1 (/ g h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* 1/3 (acos (/ (- g) h))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (/ (- g) h))) (* 2 (/ PI 3)))) 2)) * * * * [misc]progress: [ 58 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (* -1 (/ g h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* 1/3 (acos (/ (- g) h))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (/ (- g) h))) (* 2 (/ PI 3)))) 2)) * * * * [misc]progress: [ 59 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (* -1 (/ g h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* 1/3 (acos (/ (- g) h))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (cos (+ (* 1/3 (acos (/ (- g) h))) (* 2 (/ PI 3)))) 2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (* PI (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ g h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (* PI (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ g h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in g * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (* PI (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ g h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in g * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (/ g h))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ g h))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2/3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2/3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* PI (/ 2 3)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* PI (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* PI (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 g) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 g) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (/ 1 g) (/ 1 h))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* PI (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* PI (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 g) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 g) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 g) (/ 1 h))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* PI (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* PI (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 g) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 g) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 g) (/ 1 h))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (/ h g))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2/3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2/3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ (/ 1 h) (/ 1 g)))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* PI (/ 2 3)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* PI (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* PI (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 (- g)) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (/ 1 (- g)) (/ 1 (- h)))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* PI (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* PI (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 (- g)) (/ 1 (- h)))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* PI (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* PI (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 (- g)) (/ 1 (- h)))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* PI (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (* PI 2/3) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (/ h g))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* 2/3 PI))) into (- (* 1/3 (acos (/ h g))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2/3)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2/3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ (/ 1 (- h)) (/ 1 (- g))))) (* 2/3 PI))) into (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (* PI (/ 2 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (* PI (/ 2 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (* PI (/ 2 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (* PI (/ 2 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 3 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (* PI (/ 2 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ 2 (/ 3 PI))) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (/ 2 (/ 3 PI))) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (* PI (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 4 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 19 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI (sqrt (/ 2 3))) (sqrt (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 20 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 2 3) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI 1) (/ 2 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 21 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI 2) (/ 1 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 22 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 3) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) 1/2) (* (/ (sqrt 3) 2) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 25 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cos (- (* (acos (/ g h)) 1/3) (* PI 2/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (- (* (acos (/ g h)) 1/3) (* PI 2/3))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 43 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cos (- (* (acos (/ g h)) 1/3) (* PI 2/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (- (* (acos (/ g h)) 1/3) (* PI 2/3))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 44 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* 2/3 PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cos (- (* (acos (/ g h)) 1/3) (* PI 2/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (- (* (acos (/ g h)) 1/3) (* PI 2/3))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 45 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (+ (* (* 1/2 2) (cos (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))) (* (sqrt 3) (sin (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2))))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (* 1/2 2) (cos (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))) (* (sqrt 3) (sin (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))))) * * * * [misc]progress: [ 46 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (+ (* (* 1/2 2) (cos (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))) (* (sqrt 3) (sin (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2))))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (* 1/2 2) (cos (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))) (* (sqrt 3) (sin (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))))) * * * * [misc]progress: [ 47 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* PI (/ 2 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (+ (* (* 1/2 2) (cos (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))) (* (sqrt 3) (sin (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2))))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (* 1/2 2) (cos (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))) (* (sqrt 3) (sin (- (/ (acos (/ g h)) 3) (* (/ PI 3) 2)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 1 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * [misc]approximate: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]taylor: Taking taylor expansion of (+ (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) (* 2 (/ PI 3))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI 3) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ PI 3) into (* 1/3 PI) * [misc]backup-simplify: Simplify (* 2 (* 1/3 PI)) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (acos (/ (- g) h)) 3)) (exp (* 2 (/ PI 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (exp (+ (/ (acos (/ (- g) h)) 3) (+ (/ PI 3) (/ PI 3)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (log (exp (+ (/ (acos (/ (- g) h)) 3) (+ (/ PI 3) (/ PI 3)))))))) 2)) * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (acos (/ (- g) h)) 3) (* 3 (* 2 PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (/ (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) (* 3 3))))) 2)) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (/ (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) (* 3 3))))) 2)) * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) 3) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (- (/ (/ PI 2) 3) (- (/ (asin (/ (- g) h)) 3) (* 2 (/ PI 3))))))) 2)) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (- (/ PI 3) (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3))))))) 2)) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) 2)) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) 2)) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (* (* (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3))))) (cbrt (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))))) (cbrt (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) 2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ g h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ g h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in g * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ g h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in g * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ g h)) 3) into (* 1/3 (acos (/ g h))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (/ g h))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (/ g h)) in h * [misc]backup-simplify: Simplify (acos (/ g h)) into (acos (/ g h)) * [misc]taylor: Taking taylor expansion of (* (pow 8/27 1/3) PI) in h * [misc]taylor: Taking taylor expansion of (pow 8/27 1/3) in h * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 8/27))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log 8/27)) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 8/27) in h * [misc]taylor: Taking taylor expansion of 8/27 in h * [misc]backup-simplify: Simplify 8/27 into 8/27 * [misc]backup-simplify: Simplify (log 8/27) into (log 8/27) * [misc]backup-simplify: Simplify (* 1/3 (log 8/27)) into (* 1/3 (log 8/27)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 8/27))) into (pow 8/27 1/3) * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (* (pow 8/27 1/3) PI) into (* (pow 8/27 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow 8/27 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ g h))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 1) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (* 0 (pow 2/3 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (pow 2/3 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (* 0 (pow 2/3 1/3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 8/27 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 8/27))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 8/27))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 8/27 1/3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (+ (* 0 0) (* 0 (pow 2/3 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (pow 2/3 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (+ (* 0 0) (* 0 (pow 2/3 1/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ g h))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 8/27 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 8/27 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 8/27)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 8/27))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 8/27 1/3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2/3 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow 2/3 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2/3 1/3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 g) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 g) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (/ 1 g) (/ 1 h))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 g) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 g) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 g) (/ 1 h))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 g) (/ 1 h))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 g) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 g) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 g) (/ 1 h))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (/ h g))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of (* (pow 8/27 1/3) PI) in h * [misc]taylor: Taking taylor expansion of (pow 8/27 1/3) in h * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 8/27))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log 8/27)) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 8/27) in h * [misc]taylor: Taking taylor expansion of 8/27 in h * [misc]backup-simplify: Simplify 8/27 into 8/27 * [misc]backup-simplify: Simplify (log 8/27) into (log 8/27) * [misc]backup-simplify: Simplify (* 1/3 (log 8/27)) into (* 1/3 (log 8/27)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 8/27))) into (pow 8/27 1/3) * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* (pow 8/27 1/3) PI) into (* (pow 8/27 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow 8/27 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (* 0 (pow 2/3 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (pow 2/3 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (* 0 (pow 2/3 1/3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 8/27 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 8/27))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 8/27))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 8/27 1/3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (+ (* 0 0) (* 0 (pow 2/3 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (pow 2/3 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (+ (* 0 0) (* 0 (pow 2/3 1/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 8/27 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 8/27 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 8/27)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 8/27))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 8/27 1/3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2/3 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow 2/3 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2/3 1/3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ (/ 1 h) (/ 1 g)))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * [misc]approximate: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in h * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 (- g)) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (/ 1 (- g)) (/ 1 (- h)))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in h * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in h * [misc]taylor: Taking taylor expansion of (/ 2 3) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 (- g)) (/ 1 (- h)))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) in g * [misc]taylor: Taking taylor expansion of (- (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (/ 1 (- g)) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (/ 1 (- g)) (/ 1 (- h)))) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (/ h g)) 3) into (* 1/3 (acos (/ h g))) * [misc]taylor: Taking taylor expansion of (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 3)) in g * [misc]taylor: Rewrote expression to (pow (/ 2 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 2 3)))) in g * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 2 3))) in g * [misc]taylor: Taking taylor expansion of 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 2 3)) in g * [misc]taylor: Taking taylor expansion of (/ 2 3) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ 2 3) into 2/3 * [misc]backup-simplify: Simplify (log 2/3) into (log 2/3) * [misc]backup-simplify: Simplify (* 1/3 (log 2/3)) into (* 1/3 (log 2/3)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 2/3))) into (pow 2/3 1/3) * [misc]backup-simplify: Simplify (* (pow 2/3 1/3) (pow 2/3 1/3)) into (pow (pow 2/3 2) 1/3) * [misc]backup-simplify: Simplify (* PI (pow (pow 2/3 2) 1/3)) into (* PI (pow 4/9 1/3)) * [misc]backup-simplify: Simplify (* (* PI (pow 4/9 1/3)) (pow 2/3 1/3)) into (* (pow (* 2/3 4/9) 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow (* 2/3 4/9) 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) in h * [misc]taylor: Taking taylor expansion of (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (/ h g))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (/ h g)) in h * [misc]backup-simplify: Simplify (acos (/ h g)) into (acos (/ h g)) * [misc]taylor: Taking taylor expansion of (* (pow 8/27 1/3) PI) in h * [misc]taylor: Taking taylor expansion of (pow 8/27 1/3) in h * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log 8/27))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (log 8/27)) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 8/27) in h * [misc]taylor: Taking taylor expansion of 8/27 in h * [misc]backup-simplify: Simplify 8/27 into 8/27 * [misc]backup-simplify: Simplify (log 8/27) into (log 8/27) * [misc]backup-simplify: Simplify (* 1/3 (log 8/27)) into (* 1/3 (log 8/27)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log 8/27))) into (pow 8/27 1/3) * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* (pow 8/27 1/3) PI) into (* (pow 8/27 1/3) PI) * [misc]backup-simplify: Simplify (- (* (pow 8/27 1/3) PI)) into (- (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (/ h g))) (- (* (pow 8/27 1/3) PI))) into (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI)) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 1) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 2/3))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (* 0 (pow 2/3 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (pow 2/3 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (* 0 (pow 2/3 1/3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 8/27 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log 8/27))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 8/27))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 8/27 1/3) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2/3 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2/3 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 2/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (+ (* 0 0) (* 0 (pow 2/3 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (pow 2/3 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (+ (* 0 0) (* 0 (pow 2/3 1/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (/ h g))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 8/27 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 8/27 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log 8/27)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 8/27))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 8/27 1/3) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* 2/3 (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 2/3))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow 2/3 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2/3 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow 2/3 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (pow 4/9 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2/3 1/3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/3 (acos (/ h g))) (* (pow 8/27 1/3) PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (* 1/3 (acos (/ (/ 1 (- h)) (/ 1 (- g))))) (* (pow 8/27 1/3) PI))) into (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * [exit]simplify: Simplified to (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (- (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * [exit]simplify: Simplified to (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (- (* (cos (* (/ 2 3) PI)) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (- (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (acos (/ g h)) 3)) (cos (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cos (* PI (/ 2 3))) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (g h) (* (+ (* (+ (* (cos (* PI (/ 2 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* PI (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (pow (* PI (/ 2 3)) 1))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3))))) (log (cbrt (/ 2 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (+ (log (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (log (* (cbrt (/ 2 3)) PI))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (exp (+ (log (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (log (* (cbrt (/ 2 3)) PI)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3))))) (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3))))) (/ 2 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (/ (* (/ 2 3) (/ 2 3)) (/ (/ 3 2) (pow PI 3))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (cbrt (/ (* (/ 2 3) (/ 2 3)) (/ (/ 3 2) (pow PI 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (* (cbrt 2) (cbrt 2))) (cbrt 2)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* PI 2) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* PI 2) (* (* (cbrt 3) (cbrt 3)) (cbrt 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * [enter]simplify: Simplifying (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 3 * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* PI 2) 3))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (* (cbrt (/ 2 3)) (cbrt 2))) (cbrt 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (* (cbrt 2) (cbrt 2)) (* (cbrt (/ 2 3)) PI)) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* (cbrt 2) (cbrt 2)) (* (cbrt (/ 2 3)) PI)) (* (cbrt 3) (cbrt 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * [enter]simplify: Simplifying (* (cbrt 3) (cbrt 3)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cbrt 3) (cbrt 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* PI (* (cbrt (/ 2 3)) (cbrt 2))) (cbrt 2)) (* (cbrt 3) (cbrt 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (* (cbrt 2) (cbrt (/ 2 3)))) (cbrt 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 2 3)) (* (cbrt 2) (cbrt 2))) PI) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* (cbrt (/ 2 3)) (* (cbrt 2) (cbrt 2))) PI) (* (cbrt 3) (cbrt 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * [enter]simplify: Simplifying (* (cbrt 3) (cbrt 3)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cbrt 3) (cbrt 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* PI (* (cbrt 2) (cbrt (/ 2 3)))) (cbrt 2)) (* (cbrt 3) (cbrt 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 3))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 3))) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (* (cbrt (/ 2 3)) (cbrt (/ 2 3))))) (cbrt (cbrt (/ 2 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 2 3))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 2 3))) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (sqrt (/ 2 3)))) (cbrt (sqrt (/ 2 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt 1)) (cbrt (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt 2)) (cbrt (/ 1 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ 2 3))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ 2 3))) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (* (cbrt (cbrt (/ 2 3))) (cbrt (cbrt (/ 2 3))))) (cbrt (cbrt (/ 2 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 2 3))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ 2 3))) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (sqrt (cbrt (/ 2 3)))) (sqrt (cbrt (/ 2 3)))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) 1) (cbrt (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 3) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 3) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt 2)) (cbrt 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (* (cbrt 2) (cbrt 2))) (cbrt (/ 2 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 2 3)) (cbrt 2)) (* PI (cbrt 2))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* (cbrt (/ 2 3)) (cbrt 2)) (* PI (cbrt 2))) (* (cbrt 3) (cbrt 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (* (cbrt (/ 2 3)) (cbrt 2))) (cbrt (/ 2 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt 2) PI) (cbrt (/ 2 3))) (cbrt (/ 2 3))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* (* (cbrt 2) PI) (cbrt (/ 2 3))) (cbrt (/ 2 3))) (cbrt 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (* (cbrt 2) (cbrt (/ 2 3)))) (cbrt (/ 2 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) (* PI (cbrt 2))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (/ (* (* (cbrt (/ 2 3)) (cbrt (/ 2 3))) (* PI (cbrt 2))) (cbrt 3)))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 3) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) 1/2) (* (/ (sqrt 3) 2) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cos (- (* (acos (/ g h)) 1/3) (* (cbrt 8/27) PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (- (* (acos (/ g h)) 1/3) (* (cbrt 8/27) PI))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cos (- (* (acos (/ g h)) 1/3) (* (cbrt 8/27) PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (- (* (acos (/ g h)) 1/3) (* (cbrt 8/27) PI))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (* 1/3 (acos (/ g h))) (* (pow 8/27 1/3) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cos (- (* (acos (/ g h)) 1/3) (* (cbrt 8/27) PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (g h) (* (+ (* (cos (- (* (acos (/ g h)) 1/3) (* (cbrt 8/27) PI))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 2 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 3)) * [misc]simplify: Simplified (2 1 1 1 1 2 2) to (λ (g h) (* (+ (* (cos (- (/ (acos (/ g h)) 3) (* (* PI (* (cbrt (/ 2 3)) (cbrt (/ 2 3)))) (cbrt (/ 2 3))))) 1/2) (* (sin (/ PI 3)) (sin (- (/ (acos (/ g h)) 3) (* 2 (/ PI 3)))))) 2)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 6 branch expressions: (h g (- g) (/ (- g) h) (acos (/ (- g) h)) (/ (acos (/ (- g) h)) 3)) * * * * [misc]regimes: Trying to branch on h from (# # # #) * * * * [misc]regimes: Trying to branch on g from (# # # #) * * * * [misc]regimes: Trying to branch on (- g) from (# # # #) * * * * [misc]regimes: Trying to branch on (- g) from (# #) * * * * [misc]regimes: Trying to branch on (/ (- g) h) from (# # # #) * * * * [misc]regimes: Trying to branch on (/ (- g) h) from (# #) * * * * [misc]regimes: Trying to branch on (acos (/ (- g) h)) from (# # # #) * * * * [misc]regimes: Trying to branch on (acos (/ (- g) h)) from (# #) * * * * [misc]regimes: Trying to branch on (/ (acos (/ (- g) h)) 3) from (# # # #) * * * * [misc]regimes: Trying to branch on (/ (acos (/ (- g) h)) 3) from (# #) * * * [misc]regime: Found split indices: #