* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 133 additional inputs, on iter 1 have 123 / 256 * * * * [misc]points: Computing exacts on every 8 of 133 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 133 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 133 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 133 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 64 additional inputs, on iter 2 have 192 / 256 * * * * [misc]points: Computing exacts on every 4 of 64 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 64 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 64 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 34 additional inputs, on iter 3 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 34 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 4 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Computing exacts for 9 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 5 additional inputs, on iter 6 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* 2 (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * [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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in 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]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 (* 2/3 PI) into (* 2/3 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) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * * * * [misc]progress: [ 3 / 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in 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]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 (* 2/3 PI) into (* 2/3 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) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [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 (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) 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 (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) 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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [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 (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * * * * [misc]progress: [ 4 / 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: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (expm1 (* (/ PI 3) 2)) * [exit]simplify: Simplified to (expm1 (* (/ PI 3) 2)) * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log1p (* (/ PI 3) 2)) * [exit]simplify: Simplified to (log1p (* (/ PI 3) 2)) * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 PI) 3)) (cbrt (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [enter]simplify: Simplifying (cbrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* 2 (- PI)) * [exit]simplify: Simplified to (* 2 (- PI)) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 74 ] 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) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (* 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (expm1 (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (expm1 (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (log1p (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (log1p (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 16 / 74 ] 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 (/ 3 PI)))) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (sin (/ (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 (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * * * * [misc]progress: [ 17 / 74 ] 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 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cos (fma (/ 2 3) PI (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * [exit]simplify: Simplified to (* (cos (fma (/ 2 3) PI (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * [enter]simplify: Simplifying (* (sin (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (sin (/ (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 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (sin (fma (/ 2 3) PI (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3))) * [exit]simplify: Simplified to (* (sin (fma (/ 2 3) PI (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3))) * * * * [misc]progress: [ 18 / 74 ] 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 (26 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 1) (/ PI 3)))) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) * [enter]simplify: Simplifying (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (log (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (log (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (exp (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (+ (/ (* 2 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 (23 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 (* (cbrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) (cbrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))))) * [exit]simplify: Simplified to (* (cbrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) (cbrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))))) * [enter]simplify: Simplifying (cbrt (cos (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (cbrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) 3) * [exit]simplify: Simplified to (pow (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) 3) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [enter]simplify: Simplifying (sqrt (cos (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (sqrt (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 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 (expm1 (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (expm1 (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 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 (log1p (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (log1p (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 74 ] 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 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (exp (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (exp (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 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 (log (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (log (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (exp (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (cbrt (+ (/ (* 2 PI) 3) (/ (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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) (cbrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (* (cbrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) (cbrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * [enter]simplify: Simplifying (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 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 (cbrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (cbrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (pow (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)) 3) * [exit]simplify: Simplified to (pow (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)) 3) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 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 (sqrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (sqrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (sqrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 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 (sqrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (sqrt (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 2 PI) 3) (* 3 (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (fma 3 (acos (- (/ g h))) (* (* 3 2) PI)) * [exit]simplify: Simplified to (fma 3 (acos (- (/ g h))) (* (* 3 2) PI)) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [exit]simplify: Simplified to (* 3 3) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ (* 2 PI) 3) 3) (pow (/ (acos (/ (- g) h)) 3) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (fma (/ (acos (- (/ g h))) 3) (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (pow (/ PI (/ 3 2)) 3)) * [exit]simplify: Simplified to (fma (/ (acos (- (/ g h))) 3) (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (pow (/ PI (/ 3 2)) 3)) * [enter]simplify: Simplifying (+ (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (- (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (* (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (fma (/ (acos (- (/ g h))) 3) (- (/ (acos (- (/ g h))) 3) (* (/ PI 3) 2)) (* (* (/ PI 3) 2) (* (/ PI 3) 2))) * [exit]simplify: Simplified to (fma (/ (acos (- (/ g h))) 3) (- (/ (acos (- (/ g h))) 3) (* (/ PI 3) 2)) (* (* (/ PI 3) 2) (* (/ PI 3) 2))) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (- (* (* (/ PI 3) 2) (* (/ PI 3) 2)) (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (- (* (* (/ PI 3) 2) (* (/ PI 3) 2)) (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (- (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (- (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 43 / 74 ] 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 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 PI) (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (fma 2 PI (acos (/ (- g) h))) * [exit]simplify: Simplified to (fma 2 PI (acos (/ (- g) h))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (fma (/ 2 3) PI (/ PI (* 3 2))) * [exit]simplify: Simplified to (fma (/ 2 3) PI (/ PI (* 3 2))) * * * * [misc]progress: [ 46 / 74 ] 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 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (+ 2 1) (/ PI 3)) * [exit]simplify: Simplified to (* (+ 2 1) (/ PI 3)) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (expm1 (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (log1p (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (log (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (exp (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (acos (- (/ g h))) 3)) (cbrt (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (* (cbrt (/ (acos (- (/ g h))) 3)) (cbrt (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (cbrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (cbrt (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (pow (/ (acos (- (/ g h))) 3) 3) * [exit]simplify: Simplified to (pow (/ (acos (- (/ g h))) 3) 3) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [enter]simplify: Simplifying (sqrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (- (acos (- (/ g h)))) * [exit]simplify: Simplified to (- (acos (- (/ g h)))) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 57 / 74 ] 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 (* 3 2)) * [exit]simplify: Simplified to (/ PI (* 3 2)) * [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) * [exit]simplify: Simplified to (/ (asin (- (/ g h))) 3) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [exit]simplify: Simplified to (/ PI 3) * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 74 ] 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) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (cbrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (- (/ g h))))) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (- (/ g h))))) * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (sqrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (- (/ g h))))) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (- (/ g h))))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * * * * [misc]progress: [ 65 / 74 ] 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 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* 2 (cos (fma (/ 2 3) PI (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cos (fma (acos (/ (- g) h)) 1/3 (* PI 2/3))) 2) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cos (fma (acos (/ (- g) h)) 1/3 (* PI 2/3))) 2) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cos (fma (acos (/ (- g) h)) 1/3 (* PI 2/3))) 2) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cos (fma (acos (/ (- g) h)) 1/3 (* PI 2/3))) 2) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cos (fma (acos (/ (- g) h)) 1/3 (* PI 2/3))) 2) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cos (fma (acos (/ (- g) h)) 1/3 (* PI 2/3))) 2) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cos (fma 1/3 (acos (- (/ g h))) (* (/ PI 3) 2))) 2) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cos (fma 1/3 (acos (- (/ g h))) (* (/ PI 3) 2))) 2) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cos (fma 1/3 (acos (- (/ g h))) (* (/ PI 3) 2))) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (expm1 (sin (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (expm1 (sin (fma (/ PI 3) 2 (/ PI 3)))) * * * * [misc]progress: [ 2 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (log1p (sin (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (log1p (sin (fma (/ PI 3) 2 (/ PI 3)))) * * * * [misc]progress: [ 3 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (log (sin (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (log (sin (fma (/ PI 3) 2 (/ PI 3)))) * * * * [misc]progress: [ 5 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (exp (sin (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (exp (sin (fma (/ PI 3) 2 (/ PI 3)))) * * * * [misc]progress: [ 6 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (* (+ 2 1) (/ PI 3)))) (cbrt (sin (* (+ 2 1) (/ PI 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (fma 2 PI PI) 3))) (cbrt (sin (/ (fma 2 PI PI) 3)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (fma 2 PI PI) 3))) (cbrt (sin (/ (fma 2 PI PI) 3)))) * [enter]simplify: Simplifying (cbrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (cbrt (sin (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (cbrt (sin (fma (/ PI 3) 2 (/ PI 3)))) * * * * [misc]progress: [ 7 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (* (+ 2 1) (/ PI 3))) (sin (* (+ 2 1) (/ PI 3)))) (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (pow (sin (/ (fma 2 PI PI) 3)) 3) * [exit]simplify: Simplified to (pow (sin (/ (fma 2 PI PI) 3)) 3) * * * * [misc]progress: [ 8 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (sqrt (sin (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (sqrt (sin (fma (/ PI 3) 2 (/ PI 3)))) * [enter]simplify: Simplifying (sqrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (sqrt (sin (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (sqrt (sin (fma (/ PI 3) 2 (/ PI 3)))) * * * * [misc]progress: [ 9 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (expm1 (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (expm1 (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 11 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (log1p (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (log1p (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 12 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * * * * [misc]progress: [ 13 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 2 1)) (log (/ PI 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (log1p 2) (log (/ PI 3))) * [exit]simplify: Simplified to (+ (log1p 2) (log (/ PI 3))) * * * * [misc]progress: [ 15 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (log (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (log (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 16 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (exp (/ (fma 2 PI PI) 3)) * [exit]simplify: Simplified to (exp (/ (fma 2 PI PI) 3)) * * * * [misc]progress: [ 17 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (+ 2 1)) (+ 2 1)) (* (* (/ PI 3) (/ PI 3)) (/ PI 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 1 2) 3)) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 1 2) 3)) * * * * [misc]progress: [ 18 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ 2 1) (/ PI 3))) (cbrt (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ PI 3) 2 (/ PI 3))) (cbrt (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (* (cbrt (fma (/ PI 3) 2 (/ PI 3))) (cbrt (fma (/ PI 3) 2 (/ PI 3)))) * [enter]simplify: Simplifying (cbrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (cbrt (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 19 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (/ PI 3)) (* (+ 2 1) (/ PI 3))) (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (fma 2 (/ PI 3) (/ PI 3)) 3) * [exit]simplify: Simplified to (pow (fma 2 (/ PI 3) (/ PI 3)) 3) * * * * [misc]progress: [ 20 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 21 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) PI) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fma PI (pow 2 3) PI) * [exit]simplify: Simplified to (fma PI (pow 2 3) PI) * [enter]simplify: Simplifying (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (fma (- (* 2 2) 2) 3 3) * [exit]simplify: Simplified to (fma (- (* 2 2) 2) 3 3) * * * * [misc]progress: [ 22 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (fma (* 2 2) PI (- PI)) * [exit]simplify: Simplified to (fma (* 2 2) PI (- PI)) * [enter]simplify: Simplifying (* (- 2 1) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* 3 2) 3) * [exit]simplify: Simplified to (- (* 3 2) 3) * * * * [misc]progress: [ 23 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) 2 (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * [exit]simplify: Simplified to (fma (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) 2 (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * * * [misc]progress: [ 25 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (sqrt (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (fma 2 (sqrt (/ PI 3)) (sqrt (/ PI 3))) * [exit]simplify: Simplified to (fma 2 (sqrt (/ PI 3)) (sqrt (/ PI 3))) * * * * [misc]progress: [ 26 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ 1 2) * [exit]simplify: Simplified to (+ 1 2) * * * * [misc]progress: [ 27 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (fma 2 PI PI) * [exit]simplify: Simplified to (fma 2 PI PI) * * * * [misc]progress: [ 28 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 29 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 30 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * * * * [misc]progress: [ 31 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (fma 2 PI PI) * [exit]simplify: Simplified to (fma 2 PI PI) * * * * [misc]progress: [ 32 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) (/ PI 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (fma (pow 2 3) (/ PI 3) (/ PI 3)) * [exit]simplify: Simplified to (fma (pow 2 3) (/ PI 3) (/ PI 3)) * * * * [misc]progress: [ 33 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) (/ PI 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * * * * [misc]progress: [ 34 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (expm1 (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (expm1 (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 36 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (log1p (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (log1p (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 37 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * * * * [misc]progress: [ 38 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 2 1)) (log (/ PI 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (log1p 2) (log (/ PI 3))) * [exit]simplify: Simplified to (+ (log1p 2) (log (/ PI 3))) * * * * [misc]progress: [ 40 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (log (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (log (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 41 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (exp (/ (fma 2 PI PI) 3)) * [exit]simplify: Simplified to (exp (/ (fma 2 PI PI) 3)) * * * * [misc]progress: [ 42 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (+ 2 1)) (+ 2 1)) (* (* (/ PI 3) (/ PI 3)) (/ PI 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 1 2) 3)) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 1 2) 3)) * * * * [misc]progress: [ 43 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ 2 1) (/ PI 3))) (cbrt (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ PI 3) 2 (/ PI 3))) (cbrt (fma (/ PI 3) 2 (/ PI 3)))) * [exit]simplify: Simplified to (* (cbrt (fma (/ PI 3) 2 (/ PI 3))) (cbrt (fma (/ PI 3) 2 (/ PI 3)))) * [enter]simplify: Simplifying (cbrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (cbrt (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 44 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (/ PI 3)) (* (+ 2 1) (/ PI 3))) (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (fma 2 (/ PI 3) (/ PI 3)) 3) * [exit]simplify: Simplified to (pow (fma 2 (/ PI 3) (/ PI 3)) 3) * * * * [misc]progress: [ 45 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sqrt (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 46 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) PI) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fma PI (pow 2 3) PI) * [exit]simplify: Simplified to (fma PI (pow 2 3) PI) * [enter]simplify: Simplifying (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (fma (- (* 2 2) 2) 3 3) * [exit]simplify: Simplified to (fma (- (* 2 2) 2) 3 3) * * * * [misc]progress: [ 47 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (fma (* 2 2) PI (- PI)) * [exit]simplify: Simplified to (fma (* 2 2) PI (- PI)) * [enter]simplify: Simplifying (* (- 2 1) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* 3 2) 3) * [exit]simplify: Simplified to (- (* 3 2) 3) * * * * [misc]progress: [ 48 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) 2 (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * [exit]simplify: Simplified to (fma (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) 2 (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * * * [misc]progress: [ 50 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (sqrt (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (fma 2 (sqrt (/ PI 3)) (sqrt (/ PI 3))) * [exit]simplify: Simplified to (fma 2 (sqrt (/ PI 3)) (sqrt (/ PI 3))) * * * * [misc]progress: [ 51 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ 1 2) * [exit]simplify: Simplified to (+ 1 2) * * * * [misc]progress: [ 52 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (fma 2 PI PI) * [exit]simplify: Simplified to (fma 2 PI PI) * * * * [misc]progress: [ 53 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 54 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 55 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * [exit]simplify: Simplified to (/ (fma 2 PI PI) 3) * * * * [misc]progress: [ 56 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (fma 2 PI PI) * [exit]simplify: Simplified to (fma 2 PI PI) * * * * [misc]progress: [ 57 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) (/ PI 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (fma (pow 2 3) (/ PI 3) (/ PI 3)) * [exit]simplify: Simplified to (fma (pow 2 3) (/ PI 3) (/ PI 3)) * * * * [misc]progress: [ 58 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) (/ PI 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * [exit]simplify: Simplified to (- (* (/ PI 3) (* 2 2)) (/ PI 3)) * * * * [misc]progress: [ 59 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ PI 3)) * [exit]simplify: Simplified to (expm1 (/ PI 3)) * * * * [misc]progress: [ 61 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ PI 3)) * [exit]simplify: Simplified to (log1p (/ PI 3)) * * * * [misc]progress: [ 62 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI 3)) * [exit]simplify: Simplified to (log (/ PI 3)) * * * * [misc]progress: [ 64 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (exp (/ PI 3)) * [exit]simplify: Simplified to (exp (/ PI 3)) * * * * [misc]progress: [ 65 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [enter]simplify: Simplifying (cbrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * * * * [misc]progress: [ 66 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 3) (/ PI 3)) (/ PI 3)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * * * * [misc]progress: [ 67 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * * * * [misc]progress: [ 68 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 69 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 75 ] 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) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 71 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 72 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [enter]simplify: Simplifying (sin (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 73 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [enter]simplify: Simplifying (sin (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 74 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [enter]simplify: Simplifying (sin (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 3))) * * * * [misc]progress: [ 75 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (/ (acos (/ g h)) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [exit]simplify: Simplified to (sin (/ (acos (/ g h)) 3)) * [enter]simplify: Simplifying (sin (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 3))) * [exit]simplify: Simplified to (sin (fma (/ PI 3) 2 (/ PI 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [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 2 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (* 2 PI) 3)) (cos (/ (* 2 PI) 3))) (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (expm1 (* (/ PI 3) 2)) * [exit]simplify: Simplified to (expm1 (* (/ PI 3) 2)) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log1p (* (/ PI 3) 2)) * [exit]simplify: Simplified to (log1p (* (/ PI 3) 2)) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 PI) 3)) (cbrt (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [enter]simplify: Simplifying (cbrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* 2 (- PI)) * [exit]simplify: Simplified to (* 2 (- PI)) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 48 ] 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) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (* 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (expm1 (* (/ PI 3) 2)) * [exit]simplify: Simplified to (expm1 (* (/ PI 3) 2)) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log1p (* (/ PI 3) 2)) * [exit]simplify: Simplified to (log1p (* (/ PI 3) 2)) * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 PI) 3)) (cbrt (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [enter]simplify: Simplifying (cbrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* 2 (- PI)) * [exit]simplify: Simplified to (* 2 (- PI)) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 48 ] 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) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (* 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (expm1 (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log1p (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (* 2 PI) 3))) (cbrt (sin (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ 2 (/ 3 PI)))) (cbrt (sin (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (sin (/ 2 (/ 3 PI)))) (cbrt (sin (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (* 2 PI) 3)) (sin (/ (* 2 PI) 3))) (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (sin (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (sin (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 48 ] 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 (/ 3 PI)))) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (sin (/ (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 (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * * * * [misc]progress: [ 46 / 48 ] 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 (/ 3 PI)))) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (sin (/ (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 (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * * * * [misc]progress: [ 47 / 48 ] 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 (/ 3 PI)))) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (sin (/ (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 (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * * * * [misc]progress: [ 48 / 48 ] 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 (/ 3 PI)))) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (sin (/ (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 (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 2 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (* 2 PI) 3)) (cos (/ (* 2 PI) 3))) (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (* 2 PI) 3)) (cos (/ (* 2 PI) 3))) (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (expm1 (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log1p (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (* 2 PI) 3)) (cos (/ (* 2 PI) 3))) (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (expm1 (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (expm1 (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log1p (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log1p (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (* 2 PI) 3))) (cbrt (sin (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ 2 (/ 3 PI)))) (cbrt (sin (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (sin (/ 2 (/ 3 PI)))) (cbrt (sin (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (* 2 PI) 3)) (sin (/ (* 2 PI) 3))) (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (sin (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (sin (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 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 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (* PI 2) 3))) (cbrt (cos (/ (* PI 2) 3)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (* PI 2) 3))) (cbrt (cos (/ (* PI 2) 3)))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (* PI 2) 3))) * [exit]simplify: Simplified to (cbrt (cos (/ (* PI 2) 3))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4023 additional inputs, on iter 1 have 3977 / 8000 * * * * [misc]points: Computing exacts on every 251 of 4023 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 4023 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 4023 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 4023 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 4023 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 4023 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 4023 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 4023 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2020 additional inputs, on iter 2 have 5980 / 8000 * * * * [misc]points: Computing exacts on every 126 of 2020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 63 of 2020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 31 of 2020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 2020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 2020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 2020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 2020 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1032 additional inputs, on iter 3 have 6968 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 32 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 16 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1032 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 487 additional inputs, on iter 4 have 7513 / 8000 * * * * [misc]points: Computing exacts on every 30 of 487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 487 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 241 additional inputs, on iter 5 have 7759 / 8000 * * * * [misc]points: Computing exacts on every 15 of 241 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 241 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 241 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 241 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 131 additional inputs, on iter 6 have 7869 / 8000 * * * * [misc]points: Computing exacts on every 8 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 131 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 66 additional inputs, on iter 7 have 7934 / 8000 * * * * [misc]points: Computing exacts on every 4 of 66 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 66 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 66 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 38 additional inputs, on iter 8 have 7962 / 8000 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 38 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 9 have 7980 / 8000 * * * * [misc]points: Computing exacts for 20 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 10 have 7992 / 8000 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs