* [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 116 additional inputs, on iter 1 have 140 / 256 * * * * [misc]points: Computing exacts on every 7 of 116 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 116 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 116 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 43 additional inputs, on iter 2 have 213 / 256 * * * * [misc]points: Computing exacts on every 2 of 43 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 43 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 23 additional inputs, on iter 3 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 4 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 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 256 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 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) 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 (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 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 2 1 2) * [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: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) 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 (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) 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 (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) 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 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) 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 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: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (* 2 PI) 3)) (exp (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (+ (* 2 (/ PI 3)) (/ (acos (- (/ g h))) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (log (exp (+ (* 2 (/ PI 3)) (/ (acos (- (/ g h))) 3))))))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 2 PI) 3) (* 3 (acos (/ (- g) h)))) * * [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 (32 enodes) * [exit]simplify: Simplified to (* 3 (+ (acos (/ (- g) h)) (* 2 PI))) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (cos (/ (* 3 (+ (acos (/ (- g) h)) (* 2 PI))) (* 3 3))))) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (/ (* 3 (+ (acos (/ (- g) h)) (* 2 PI))) (* 3 3))))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 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 (+ (/ (acos (/ (- g) h)) 3) (/ (* 2 PI) 3)) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (* 1 (+ (/ (acos (/ (- g) h)) 3) (/ (* 2 PI) 3)))))) * * * * [misc]progress: [ 24 / 62 ] 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 2 1 1) to (λ (g h) (* 2 (cos (* (/ 1 3) (+ (* 2 PI) (acos (/ (- g) h))))))) * [enter]simplify: Simplifying (+ (* 2 PI) (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (- (/ g h))) (* 2 PI)) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (* (/ 1 3) (+ (acos (- (/ g h))) (* 2 PI)))))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (asin (/ (- g) h)) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (asin (/ (- g) h)) 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (- (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3)) (/ (asin (/ (- g) h)) 3))))) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 62 ] 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 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (- (/ (/ PI 2) 3) (/ (asin (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (- (/ PI 3) (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] 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 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3 (cbrt (acos (/ (- g) h))))))))) * * * * [misc]progress: [ 41 / 62 ] 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 2 1 2 1) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (sqrt (acos (- (/ g h)))) (/ 3 (sqrt (acos (/ (- g) h))))))))) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ (* 2 PI) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ (* 2 PI) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cos (/ (asin (/ (- g) h)) 3)) (cos (+ (/ (/ PI 2) 3) (* 2 (/ PI 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (+ (* (cos (/ (asin (/ (- g) h)) 3)) (cos (+ (/ (/ PI 2) 3) (* 2 (/ PI 3))))) (* (sin (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3)))))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [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]simplify: Simplified (2) to (λ (g h) (* (cos (+ (/ (acos (/ (- g) h)) 3) (* 2 (/ PI 3)))) 2)) * * * * [misc]progress: [ 54 / 62 ] 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 2 1) to (λ (g h) (* 2 (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) * * * * [misc]progress: [ 55 / 62 ] 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 2 1) to (λ (g h) (* 2 (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) * * * * [misc]progress: [ 56 / 62 ] 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 2 1) to (λ (g h) (* 2 (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) * * * * [misc]progress: [ 57 / 62 ] 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 2 1 2) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (/ (- g) h))))))) * * * * [misc]progress: [ 58 / 62 ] 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 2 1 2) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (/ (- g) h))))))) * * * * [misc]progress: [ 59 / 62 ] 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 2 1 2) to (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (/ (- g) h))))))) * * * * [misc]progress: [ 60 / 62 ] 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 2) to (λ (g h) (* 2 (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) * * * * [misc]progress: [ 61 / 62 ] 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 2) to (λ (g h) (* 2 (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) * * * * [misc]progress: [ 62 / 62 ] 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 2) to (λ (g h) (* 2 (cos (+ (* 1/3 (acos (- (/ g h)))) (* PI 2/3))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (cos (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* 1/2 (sin (/ PI (/ 3 2)))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (+ (* 1/2 (sin (/ PI (/ 3 2)))) (* (cos (/ (* 2 PI) 3)) (sin (/ PI 3)))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 47 ] simplifiying candidate # * * * * [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 # * [enter]simplify: Simplifying (* (exp (/ (* 2 PI) 3)) (exp (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (exp (* (+ 2 1) (/ PI 3))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (log (exp (* (+ 2 1) (/ PI 3))))) (sin (/ (acos (/ g h)) 3)))))) * * * * [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 # * [enter]simplify: Simplifying (+ (* (* 2 PI) 3) (* 3 PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ 1 2) (* 3 PI)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (* (+ 1 2) (* 3 PI)) (* 3 3))) (sin (/ (acos (/ g h)) 3)))))) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (/ (* (+ 1 2) (* 3 PI)) (* 3 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 17 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ PI 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (+ 2 1) (/ PI 3)) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* 1 (* (+ 2 1) (/ PI 3)))) (sin (/ (acos (/ g h)) 3)))))) * * * * [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 2 2 1 1 1) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (/ 1 3) (+ (* 2 PI) PI))) (sin (/ (acos (/ g h)) 3)))))) * [enter]simplify: Simplifying (+ (* 2 PI) PI) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (+ PI (* 2 PI)) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (* (/ 1 3) (+ PI (* 2 PI)))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 22 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * * * * [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 # * * * * [misc]progress: [ 43 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3)))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 45 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3)))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 46 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3)))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 47 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3)))) * [misc]simplify: Simplified (2) to (λ (g h) (+ (* (cos (/ (acos (/ g h)) 3)) (* (cos (/ (+ 1 2) (/ 3 PI))) 2)) (* (* 2 (sin (/ (+ 1 2) (/ 3 PI)))) (sin (/ (acos (/ g h)) 3))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))) in h * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3)) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))) in g * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3)) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))) in g * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3)) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ g h))))) 1) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ g h))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ g h))))) 0) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]taylor: Taking taylor expansion of (cos (- PI (* 1/3 (acos (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (- PI (* 1/3 (acos (/ g h)))) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [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]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ g h)))) into (- (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ g h))))) into (- PI (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ g h))))) into (sin (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ g h))))) 1) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ g h))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ g h))))) 0) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- PI (* 1/3 (acos (/ g h))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ g h))) (/ 0 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 (- PI (* 1/3 (acos (/ g h))))) 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 (- PI (* 1/3 (acos (/ g h))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) 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 (- PI (* 1/3 (acos (/ g h))))) 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 (- PI (* 1/3 (acos (/ g h))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 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 (+ 0 0) 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) 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 (- PI (* 1/3 (acos (/ g h))))) 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 (- PI (* 1/3 (acos (/ g h))))) 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 (- 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 (- PI (* 1/3 (acos (/ g h))))) 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 (- PI (* 1/3 (acos (/ g h))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 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 (+ 0 0) 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) 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 (- PI (* 1/3 (acos (/ g h))))) 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 (- PI (* 1/3 (acos (/ g h))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]approximate: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in h * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 g) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- PI (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (- PI (* 1/3 (acos (/ h g)))) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [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]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 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 (+ 0 0) 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) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 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 (+ 0 0) 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) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ (/ 1 h) (/ 1 g)))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * [misc]approximate: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in h * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ PI 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) 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 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 (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [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) 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]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 PI)) into PI * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]taylor: Taking taylor expansion of (cos (- PI (* 1/3 (acos (/ h g))))) in h * [misc]taylor: Taking taylor expansion of (- PI (* 1/3 (acos (/ h g)))) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [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]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (- (* 1/3 (acos (/ h g)))) into (- (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ PI (- (* 1/3 (acos (/ h g))))) into (- PI (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (sin (- PI (* 1/3 (acos (/ h g))))) into (sin (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (cos (- PI (* 1/3 (acos (/ h g))))) 1) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (* (sin (- PI (* 1/3 (acos (/ h g))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- PI (* 1/3 (acos (/ h g))))) 0) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (cos (- PI (* 1/3 (acos (/ h g))))) into (cos (- PI (* 1/3 (acos (/ h g))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (/ h g))) (/ 0 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 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 (+ 0 0) 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) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ h g))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 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 (+ 0 0) 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) 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 (- PI (* 1/3 (acos (/ h g))))) 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 (- PI (* 1/3 (acos (/ (/ 1 (- h)) (/ 1 (- g))))))) into (cos (- PI (* 1/3 (acos (/ g h))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (* 2 PI) 3)) (exp (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (exp (* (+ 2 1) (/ PI 3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (- (log (exp (* (+ 2 1) (/ PI 3)))) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 2 PI) 3) (* 3 PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ 1 2) (* 3 PI)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (cos (- (/ (* (+ 1 2) (* 3 PI)) (* 3 3)) (/ (acos (/ g h)) 3))))) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h) (* 2 (cos (- (/ (* (+ 1 2) (* 3 PI)) (* 3 3)) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ PI 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (+ 2 1) (/ PI 3)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h) (* 2 (cos (- (* 1 (* (+ 2 1) (/ PI 3))) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 24 / 53 ] 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 2 1 1 1) to (λ (g h) (* 2 (cos (- (* (/ 1 3) (+ (* 2 PI) PI)) (/ (acos (/ g h)) 3))))) * [enter]simplify: Simplifying (+ (* 2 PI) PI) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (+ PI (* 2 PI)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (g h) (* 2 (cos (- (* (/ 1 3) (+ PI (* 2 PI))) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 25 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ PI 3))) (cos (- (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (- (/ (acos (/ g h)) 3))))))) * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (- (/ PI 3) (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cos (/ (* 2 PI) 3)) (cos (- (/ PI 3) (/ (acos (/ g h)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (- (/ PI 3) (/ (acos (/ g h)) 3)))) (* (sin (/ (* 2 PI) 3)) (sin (- (/ PI 3) (/ (acos (/ g h)) 3))))))) * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (/ PI 2) 3))) (cos (/ (asin (/ g h)) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cos (/ (asin (/ g h)) 3)) (cos (- (* (+ 2 1) (/ PI 3)) (/ (/ PI 2) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (asin (/ g h)) 3)) (cos (- (* (+ 2 1) (/ PI 3)) (/ (/ PI 2) 3)))) (* (sin (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (/ PI 2) 3))) (sin (/ (asin (/ g h)) 3)))))) * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ PI 3))) (cos (- (/ (acos (/ g h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (- (/ (acos (/ g h)) 3))))))) * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (+ (* (cos (* (+ 2 1) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3)))))) * * * * [misc]progress: [ 41 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [misc]simplify: Simplified (2 2 1 2) to (λ (g h) (* 2 (cos (- (+ (/ (* 2 PI) 3) (/ PI 3)) (/ (acos (/ g h)) 3))))) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- PI (* 1/3 (acos (/ g h))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (- (cos (* (acos (/ g h)) 1/3))) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- PI (* 1/3 (acos (/ g h))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (- (cos (* (acos (/ g h)) 1/3))) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- PI (* 1/3 (acos (/ g h))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (- (cos (* (acos (/ g h)) 1/3))) * [misc]simplify: Simplified (2 2) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * [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 / 2 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (acos (/ g h)) 1/3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ g h)) 1/3) into (* 1/3 (acos (/ g 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]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (* 0 1/3)) 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 (/ g h)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (+ (* 0 0) (* 0 1/3))) 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 (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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 (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]approximate: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [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]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (* 0 1/3)) 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 (/ h g)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (* 0 1/3))) 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 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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 h) (/ 1 g)))) into (* 1/3 (acos (/ g h))) * [misc]approximate: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [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]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (* 0 1/3)) 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 (/ h g)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (* 0 1/3))) 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 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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 (- h)) (/ 1 (- g))))) into (* 1/3 (acos (/ g h))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cos (* (acos (/ g h)) 1/3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ g h)) 1/3)) in h * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ g h)) 1/3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ g h)) 1/3)) in g * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ g h)) 1/3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ g h)) 1/3)) in g * [misc]taylor: Taking taylor expansion of (* (acos (/ g h)) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ g h)) 1/3) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ g h)))) 1) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ g h)))) 0) into (cos (* 1/3 (acos (/ g h)))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (acos (/ g h)))) 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]backup-simplify: Simplify (* 1/3 (acos (/ g h))) into (* 1/3 (acos (/ g h))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ g h)))) into (sin (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ g h)))) 1) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ g h)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ g h)))) 0) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ g h)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ g h)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (* 0 1/3)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 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)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ g h)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 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)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (+ (* 0 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 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)))) 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ g h)))) 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)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ g h)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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)))) 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)))) into (cos (* 1/3 (acos (/ g h)))) * [misc]approximate: Taking taylor expansion of (cos (* (acos (/ (/ 1 g) (/ 1 h))) 1/3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ (/ 1 g) (/ 1 h))) 1/3)) in h * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ (/ 1 g) (/ 1 h))) 1/3)) in g * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ (/ 1 g) (/ 1 h))) 1/3)) in g * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 g) (/ 1 h))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (acos (/ h g)))) 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]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (* 0 1/3)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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)))) 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))))) into (cos (* 1/3 (acos (/ g h)))) * [misc]approximate: Taking taylor expansion of (cos (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3)) in h * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3)) in g * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3)) in g * [misc]taylor: Taking taylor expansion of (* (acos (/ (/ 1 (- g)) (/ 1 (- h)))) 1/3) 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 1/3 in g * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (acos (/ h g)) 1/3) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (acos (/ h g)))) 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]backup-simplify: Simplify (* 1/3 (acos (/ h g))) into (* 1/3 (acos (/ h g))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (sin (* 1/3 (acos (/ h g)))) into (sin (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (acos (/ h g)))) 1) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (acos (/ h g)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (acos (/ h g)))) 0) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (cos (* 1/3 (acos (/ h g)))) into (cos (* 1/3 (acos (/ h g)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (acos (/ h g)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (* 0 1/3)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (/ h g)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (acos (/ h g)))) 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)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (acos (/ h g)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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)))) 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)))))) into (cos (* 1/3 (acos (/ g h)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (acos (/ g h))) (cbrt (acos (/ g h)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (acos (/ g h))) (cbrt (acos (/ g h)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (- (cos (* (* (cbrt (acos (/ g h))) (cbrt (acos (/ g h)))) (* (cbrt (acos (/ g h))) 1/3)))))) * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos (/ g h))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (acos (/ g h))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (g h) (* 2 (- (cos (* (sqrt (acos (/ g h))) (* (sqrt (acos (/ g h))) 1/3)))))) * * * * [misc]progress: [ 10 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (/ g h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (acos (/ g h)) 1/3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * * [misc]progress: [ 20 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (/ g h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (acos (/ g h)) 1/3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (acos (/ g h))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (acos (/ g h)) 1/3) * [misc]simplify: Simplified (2 2 1 1) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * * [misc]progress: [ 22 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/3 (acos (/ g h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cos (* (acos (/ g h)) 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * * [misc]progress: [ 23 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/3 (acos (/ g h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cos (* (acos (/ g h)) 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * * [misc]progress: [ 24 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/3 (acos (/ g h)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cos (* (acos (/ g h)) 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (g h) (* 2 (- (cos (* (acos (/ g h)) 1/3))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 2 branch expressions: (h g) * * * * [misc]regimes: Trying to branch on h from (# #) * * * * [misc]regimes: Trying to branch on g from (# #) * * * [misc]regime: Found split indices: #